On algebraic geometry, including correspondence with Grothendieck
Author(s)
Bibliographic Information
On algebraic geometry, including correspondence with Grothendieck
（Selected papers / David Mumford, v. 2）
Springer, c2010
- [: hbk]
Available at / 41 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
[: hbk]MUM||1||8-2200035886670
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
[: hbk.]/M 9192080233413
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Note
Includes bibliographical references: p. xiii-xxii
Description and Table of Contents
Description
Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics
Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been published
Table of 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.
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