Rapoport, M. 1948
Overview
Works:  24 works in 76 publications in 4 languages and 2,227 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Other, Editor, Translator 
Classifications:  QA564, 
Publication Timeline
.
Most widely held works by
M Rapoport
Period spaces for pdivisible groups by
M Rapoport(
Book
)
10 editions published in 1996 in English and Italian and held by 337 WorldCat member libraries worldwide
10 editions published in 1996 in English and Italian and held by 337 WorldCat member libraries worldwide
Modular forms and special cycles on Shimura curves by
Stephen S Kudla(
Book
)
10 editions published in 2006 in English and held by 304 WorldCat member libraries worldwide
"Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zerocycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be the qexpansions of modular forms and Siegel modular forms of genus two respectively, valued in the GilletSoule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical SiegelWeil formula identifies the generating function for zerocycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the ShimuraWaldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the MordellWeil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard Lfunction for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations. The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of pdivisible groups, padic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of Lfunctions."Publisher's website
10 editions published in 2006 in English and held by 304 WorldCat member libraries worldwide
"Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zerocycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be the qexpansions of modular forms and Siegel modular forms of genus two respectively, valued in the GilletSoule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical SiegelWeil formula identifies the generating function for zerocycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the ShimuraWaldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the MordellWeil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard Lfunction for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations. The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of pdivisible groups, padic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of Lfunctions."Publisher's website
Beilinson's conjectures on special values of Lfunctions by
M Rapoport(
Book
)
14 editions published between 1988 and 2014 in English and Undetermined and held by 244 WorldCat member libraries worldwide
Beilinson's Conjectures on Special Values of LFunctions
14 editions published between 1988 and 2014 in English and Undetermined and held by 244 WorldCat member libraries worldwide
Beilinson's Conjectures on Special Values of LFunctions
Period domains over finite and padic fields by
JeanFrançois Dat(
Book
)
12 editions published in 2010 in English and held by 211 WorldCat member libraries worldwide
This systematic exposition of the basics of period domains is a pedagogical introduction accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. The authors provide numerous worked examples, remarks on open questions, historical context and references to the literature
12 editions published in 2010 in English and held by 211 WorldCat member libraries worldwide
This systematic exposition of the basics of period domains is a pedagogical introduction accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. The authors provide numerous worked examples, remarks on open questions, historical context and references to the literature
Smooth compactification of locally symmetric varieties by
Avner Ash(
Book
)
5 editions published between 1975 and 2010 in English and Undetermined and held by 20 WorldCat member libraries worldwide
The classic presentation of a universal method for the resolution of a class of singularities in algebraic geometry
5 editions published between 1975 and 2010 in English and Undetermined and held by 20 WorldCat member libraries worldwide
The classic presentation of a universal method for the resolution of a class of singularities in algebraic geometry
KottwitzRapoport and prank strata in the reduction of Shimura varieties of PEL type by
Philipp Hartwig(
)
1 edition published in 2012 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 16 WorldCat member libraries worldwide
Compactifications de l'espace de modules de HilbertBlumenthal by
M Rapoport(
Book
)
5 editions published in 1976 in French and held by 12 WorldCat member libraries worldwide
DEFINITION DE L'ESPACE DE MODULES. VARIETES ABELIENNES DEGENERANTES. THEOREMES RIGIDEANALYTIQUES. CONSTRUCTION DES CARTES LOCALES. CONSTRUCTION DE COMPACTIFICATIONS TOROIDALES. APPLICATION AUX FORMES MODULAIRES
5 editions published in 1976 in French and held by 12 WorldCat member libraries worldwide
DEFINITION DE L'ESPACE DE MODULES. VARIETES ABELIENNES DEGENERANTES. THEOREMES RIGIDEANALYTIQUES. CONSTRUCTION DES CARTES LOCALES. CONSTRUCTION DE COMPACTIFICATIONS TOROIDALES. APPLICATION AUX FORMES MODULAIRES
Arithmetic geometry and automorphic forms(
Book
)
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
Cohomologies padiques et applications arithmétiques(
Book
)
2 editions published in 2004 in French and held by 4 WorldCat member libraries worldwide
The third (and the last) volume of the Proceedings of the padic semester at Institut Poincaré in 1997 contains two long articles. The first, by J.M. Fontaine, treats several topics from the theory of padic Galois representations: Sen's theory of Crepresentations, its generalization to BdR representations, sketch of the proof by Colmez and Fontaine of the fundamental conjecture weakly admissible implies admissible, some remarks on the period rings. The second article is the longawaited paper of K. Kato, which concludes the proof of one of the most spectacular number theoretical results from the 1990's, namely "one half" of the Main Conjecture of Iwasawa Theory for classical modular forms and its applications to the padic conjecture of Birch and SwinnertonDyer (and its generalizations)
2 editions published in 2004 in French and held by 4 WorldCat member libraries worldwide
The third (and the last) volume of the Proceedings of the padic semester at Institut Poincaré in 1997 contains two long articles. The first, by J.M. Fontaine, treats several topics from the theory of padic Galois representations: Sen's theory of Crepresentations, its generalization to BdR representations, sketch of the proof by Colmez and Fontaine of the fundamental conjecture weakly admissible implies admissible, some remarks on the period rings. The second article is the longawaited paper of K. Kato, which concludes the proof of one of the most spectacular number theoretical results from the 1990's, namely "one half" of the Main Conjecture of Iwasawa Theory for classical modular forms and its applications to the padic conjecture of Birch and SwinnertonDyer (and its generalizations)
Determination du nombre de tamagawa des groupes semisimples quasideployes sur des corps de nombres by
M Rapoport(
Book
)
1 edition published in 1976 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 1976 in French and held by 3 WorldCat member libraries worldwide
Results of a survey of pupils and teachers regarding television by
Ontario(
Book
)
1 edition published in 1975 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1975 in English and held by 2 WorldCat member libraries worldwide
Modular Forms and Special Cycles on Shimura Curves. (AM161) by
Stephen S Kudla(
Book
)
2 editions published in 2006 in English and held by 1 WorldCat member library worldwide
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zerocycles, on the arithmetic surface ""M"" attached to a Shimura curve ""M"" over the field of rational numbers. These generating functions are shown to be the qexpansions of modular forms and Siegel modular forms of genus two respectively, valued in the GilletSoulé arithmetic Chow groups of ""M"". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Sie
2 editions published in 2006 in English and held by 1 WorldCat member library worldwide
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zerocycles, on the arithmetic surface ""M"" attached to a Shimura curve ""M"" over the field of rational numbers. These generating functions are shown to be the qexpansions of modular forms and Siegel modular forms of genus two respectively, valued in the GilletSoulé arithmetic Chow groups of ""M"". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Sie
Les réfugiés : parias ou citoyens by
Michel Rapoport(
Book
)
1 edition published in 1998 in French and held by 1 WorldCat member library worldwide
Dans son ouvrage, l'auteur s'interroge sur la place qu'ont aujourd'hui les réfugiés dans notre société. Depuis 50 ans, la communauté internationale et des institutions telles que le Haut Commissariat des Nations Unies pour les Réfugiés reconnaissent leur existence, et, par là même, un droit à la vie, donc un statut. Mais la question de leur place pose problème. En effet, fautil intégrer ces groupes humains déracinés au sein des sociétés d'accueil ou fautil les mettre de côté en vue d'un éventuel retour? Michel Rapoport présente tout d'abord une brève analyse des réfugiés dans l'Histoire. Les drames des deux Guerres mondiales et de l'aprèsguerre sont traités dans les chapitres 2 et 4. La troisième partie s'attarde sur le statut actuel du réfugié et notamment des enfants. Le HCR, son action et son rôle sont présentés dans le chapitre 5. Finalement le dernier chapitre donnent quelques exemples de politiques des réfugiés dans les états, ainsi le droit d'asile en France, la politique commune en Europe et la politique des réfugiés dans le TiersMonde. Une chronologie permet une meilleure compréhension du sujet
1 edition published in 1998 in French and held by 1 WorldCat member library worldwide
Dans son ouvrage, l'auteur s'interroge sur la place qu'ont aujourd'hui les réfugiés dans notre société. Depuis 50 ans, la communauté internationale et des institutions telles que le Haut Commissariat des Nations Unies pour les Réfugiés reconnaissent leur existence, et, par là même, un droit à la vie, donc un statut. Mais la question de leur place pose problème. En effet, fautil intégrer ces groupes humains déracinés au sein des sociétés d'accueil ou fautil les mettre de côté en vue d'un éventuel retour? Michel Rapoport présente tout d'abord une brève analyse des réfugiés dans l'Histoire. Les drames des deux Guerres mondiales et de l'aprèsguerre sont traités dans les chapitres 2 et 4. La troisième partie s'attarde sur le statut actuel du réfugié et notamment des enfants. Le HCR, son action et son rôle sont présentés dans le chapitre 5. Finalement le dernier chapitre donnent quelques exemples de politiques des réfugiés dans les états, ainsi le droit d'asile en France, la politique commune en Europe et la politique des réfugiés dans le TiersMonde. Une chronologie permet une meilleure compréhension du sujet
Die Vermutungen von Hodge und Tate : vom 12. bis 18. April 1981(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Lace by
Muzeʼon Ḥefah lemusiḳah uleetnologyah (Israel)(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Results of a survey of pupils and teachers regarding television by P Crawford(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Compactifications de l'espace de modules de HilbertBlumenthal(
)
1 edition published in 1978 in French and held by 1 WorldCat member library worldwide
1 edition published in 1978 in French and held by 1 WorldCat member library worldwide
Entre le Mercosur et ''ALCA. L'Argentine et le protectionnisme des EtatsUnis(
)
1 edition published in 2003 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 2003 in Undetermined and held by 1 WorldCat member library worldwide
Beilinson's conjectures on special values of Lfunctions by
M Rapoport(
Book
)
1 edition published in 1988 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Undetermined and held by 1 WorldCat member library worldwide
Die BeilinsonVermutung 6.4. bis 12.4.1986(
Book
)
1 edition published in 1986 in German and held by 1 WorldCat member library worldwide
1 edition published in 1986 in German and held by 1 WorldCat member library worldwide
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Yang, Tonghai 1963
 Kudla, Stephen S. 1950 Author
 Orlik, Sascha 1971
 Dat, JeanFrançois Author
 Zink, Thomas
 Schneider, P. (Peter) 1953 Editor
 Schappacher, Norbert Editor
 Mumford, David
 Ash, Avner Author
 Dat, JeanFranois Author
Useful Links
Associated Subjects
Algebra, Homological Algebraic varieties Arithmetical algebraic geometry Automorphic forms Beilinson's conjectures Cohomology operations Embeddings (Mathematics) Finite fields (Algebra) Geometry, Algebraic Homology theory Lfunctions Lie groups Moduli theory padic analysis padic fields padic groups pdivisible groups Shimura varieties Symmetric domains Symmetric spaces
Alternative Names
Michael Rapoport austerriksk matematikar
Michael Rapoport German mathematician
Michael Rapoport Oostenrijks wiskundige
Michael Rapoport österreichischer Mathematiker
Michael Rapoport österrikisk matematiker
Michael Rapoport østerriksk matematiker
Michael Rapoport østrigsk matematiker
Rapoport, M.
Rapoport, M. 1948
Rapoport, Michael
Rapoport, Michael 1948
Rapoport, Michael 1948 October 2
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