WorldCat Identities

Geer, Gerard van der

Overview
Works: 25 works in 127 publications in 1 language and 2,550 library holdings
Genres: Conference proceedings  Genealogy 
Roles: Editor
Classifications: QA247, 512.3
Publication Timeline
Key
Publications about  Gerard van der Geer Publications about Gerard van der Geer
Publications by  Gerard van der Geer Publications by Gerard van der Geer
Most widely held works by Gerard van der Geer
Number fields and function fields two parallel worlds by Gerard van der Geer ( )
23 editions published between 2005 and 2007 in English and held by 588 WorldCat member libraries worldwide
Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeper understanding of this analogy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. The arrival of Arakelov's new geometry that tries to put the archimedean places on a par with the finite ones gave a new impetus and led to spectacular success in Faltings' hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights in the more arithmetically-oriented world of number fields, or vice versa. These invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives.; This volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections
Hilbert modular surfaces by Gerard van der Geer ( Book )
17 editions published between 1987 and 2012 in English and Undetermined and held by 385 WorldCat member libraries worldwide
Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book is on the geometry of Hilbert modular surfaces, both geometric and arithmetic aspects are treated. An abundance of examples - in fact a whole chapter - completes this competent presentation of the subject. This Ergebnisbericht will soon become an indispensible tool for graduate students and researchers in this field
Introduction to coding theory and algebraic geometry by Jacobus Hendricus van Lint ( Book )
11 editions published in 1988 in English and held by 346 WorldCat member libraries worldwide
The moduli space of curves by R Dijkgraaf ( Book )
10 editions published in 1995 in English and held by 270 WorldCat member libraries worldwide
The moduli space Mg of curves of fixed genus g that is, the algebraic variety that parametrizes all curves of genus g is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteens conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes numerous suggestions for further development. The same problem is given an elegant treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology, and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory
Arithmetic algebraic geometry by G Geer ( Book )
11 editions published in 1991 in English and Undetermined and held by 265 WorldCat member libraries worldwide
Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Inspired by these exciting developments, the editors organized a meeting at Texel in 1989 and invited a number of mathematicians to write papers for this volume. Some of these papers were presented at the meeting; others arose from the discussions that took place. They were all chosen for their quality and relevance to the application of algebraic geometry to arithmetic problems. Topics include: arithmetic surfaces, Chjerm functors, modular curves and modular varieties, elliptic curves, Kolyvagin's work, K-theory and Galois representations. Besides the research papers, there is a letter of Parshin and a paper of Zagier with is interpretations of the Birch-Swinnerton-Dyer Conjecture. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection
Moduli of Abelian varieties by C Faber ( Book )
10 editions published in 2001 in English and held by 222 WorldCat member libraries worldwide
Abelian varieties and their moduli are a central topic of increasing importance in today`s mathematics. Applications range from algebraic geometry and number theory to mathematical physics. The present collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field. The book will appeal to pure mathematicians, especially algebraic geometers and number theorists, but will also be relevant for researchers in mathematical physics
Lectures on Hilbert modular surfaces by Friedrich Hirzebruch ( Book )
8 editions published in 1981 in English and held by 175 WorldCat member libraries worldwide
Modular forms on schiermonnikoog by B Edixhoven ( Book )
12 editions published between 2004 and 2008 in English and held by 175 WorldCat member libraries worldwide
A collection of articles presenting the state of the art in the topic of modular forms
Classification of algebraic varieties by Conference "Classification of Algebraic Varieties" ( Book )
6 editions published in 2011 in English and held by 94 WorldCat member libraries worldwide
Kodierungstheorie 30.04. - 06.05.2000 by Gerard van der Geer ( Book )
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
The Moduli Space of Abelian Varieties and the Singularities of the Theta Divisor by C Ciliberto ( Book )
3 editions published in 1999 in English and held by 3 WorldCat member libraries worldwide
Generalized Hamming weights of codes and curves over finite fields with many points by Gerard van der Geer ( Book )
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
On the existence of supersingular curves of given genus by Gerard van der Geer ( Book )
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
On generalized Hamming weights of BCH-codes by Gerard van der Geer ( Book )
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
On Hilbert modular surfaces of principal congruence subgroups by Gerard van der Geer ( Book )
1 edition published in 1977 in English and held by 2 WorldCat member libraries worldwide
Curves over finite fields of characteristic two with many rational points by Gerard van der Geer ( Book )
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Abstract: "In this note we construct curves over finite fields in characteristic 2 with many rational points. The methods of construction are inspired by considerations from coding theory."
Subvarieties of the moduli space of curves parametrizing Jacobians with non-trivial endomorphisms by C Ciliberto ( Book )
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
Kloosterman sums and the p-torsion of certain Jacobians by Gerard van der Geer ( Book )
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
The second generalized Hamming weight of the dual codes of double-error correcting binary BCH-codes by Gerard van der Geer ( Book )
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
Abstract: "In this note we determine the second generalized Hamming weight of the dual codes of binary double-error-correcting BCH-codes."
Fibre products of Artin-Schreier curves and generalized Hamming weight of codes by Gerard van der Geer ( Book )
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
 
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Audience Level
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  Kids General Special  
Audience level: 0.83 (from 0.00 for Kodierungs ... to 0.90 for Moduli of ...)
Alternative Names
De Geer, Gerard
Der Geer Gerard van
Geer, G. van der 1950-
Geer, G. van der (Gerard van der)
Geer, Gerardus Bartholomeus Maria van der 1950-
Van der Geer, Gerard.
Van der Geer, Gerard 1950-
Languages
English (119)
Covers