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Selected papers. Volume II, On algebraic geometry, including correspondence with Grothendieck

Author: David Mumford; Ching-Li Chai; Amnon Neeman; Takahiro Shiota
Publisher: New York : Springer, ©2010.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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These articles span the years from 1961-1980 while David Mumford was an active researcher in the area of algebraic geometry. This volume includes many important papers previously omitted. Mumford's  Read more...

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Document Type: Book
All Authors / Contributors: David Mumford; Ching-Li Chai; Amnon Neeman; Takahiro Shiota
ISBN: 9780387724911 0387724915
OCLC Number: 173498952
Description: xxii, 767 pages : illustrations ; 25 cm
Contents: Topology of normal singularities and a criterion for simplicity.- The canononical ring of an algebraic surface.- Some aspects of the problem of moduli.- Two fundamental theorems on deformations of polarized varieties.- A remark on Mordell's conjecture.- Picard groups of moduli problems.- Abelian quotients of the Teichmuller modular group.- Deformations and liftings of finite, commutative group schemes.- Bi-extentions of formal groups.- The irreducibility of the space of curves of given genus.- Varieties defined by quadratric equations, with an appendix by G. Kempf.- A remark on Mahler's compactness theorem.- Introduction to the theory of moduli.- An example of a unirational 3-fold which is not rational.- A remark on the paper of M. Schlessinger.- Matsusaka's big theorem.- The self-intersection formula and the 'forumle-clef'.- Hilbert's fourteenth problem-the finite generation of subrings such as rings of invariants.- The projectivity of the moduli space of stable curves. I. Preliminaries on 'det' and 'Div'.- An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg de Vries equation and related nonlinear equation.- The work of C.P. Ramanujam in algebraic geometry.- Some footnotes to the work of C.P. Ramanujam.- Fields medals. IV. An instinct for the key idea.- The spectrum of difference operators and algebraic curves.- Proof of the convexity theorem.- Oscar Zariski: 1899-1986.- Foreward for non-mathematicians.- What can be computed in algebraic geometry.- In memoriam: George R. Kempf 1944-2002.- Boundary points on modular varieties.- Further comments on boundary points.- Abstract theta functions.- Abstract theta functions over local fields.
Other Titles: On algebraic geometry, including correspondence with Grothendieck
Selected papers on algebraic geometry, including correspondence with Grothendieck
Responsibility: David Mumford ; Ching-Li Chai, Amnon Neeman, Takahiro Shiota, editors.
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From the reviews: "The present volume contains thirty selected articles of D. Mumford on topics in algebraic geometry ... . must be seen as a highly valuable and welcome collection for every Read more...

 
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