Selected Papers - David Mumford

Selected Papers

On the Classification of Varieties and Moduli Spaces

(Autor)

Buch | Softcover
795 Seiten
2010 | Softcover reprint of hardcover 1st ed. 2004
Springer-Verlag New York Inc.
978-1-4419-1936-6 (ISBN)
128,39 inkl. MwSt
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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 commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time.

David Mumford is Professor of Applied Mathematics at Brown University. In 1974 he was awarded the Fields Medal at the International Congress of Mathematicians in Vancouver.

Part I. Geometric Invariant Theory and the Moduli of Curves * Commentary by David Gieseker * An elementary theorem in geometric invariant theory (1961) * Projective invariants of projective structures and applications (1962) * Periods of a moduli space of bundles on curves (with P. Newstead) (1968) * The structure of the moduli spaces of curves and abelian varieties (1970) * An analytic construction of degenerating curves over complete local rings (1972) * Pathologies IV (1975) * Stability of projective varieties (1977) * On the Kodaira dimension of the moduli space of curves (with J. Harris) (1982) * Towards an enumerative geometry of the moduli space of curves (1983) * Part II. Theta Functions and the Moduli of Abelian Varieties * Commentary by George Kempf and Herbert Lange * On the equations defining abelian varieties. I (1966)* On the equations defining abelian varieties. II (1967) * On the equations defining abelian varieties. III (1967) * Families of abelian varieties (1966) * A note on Shimura’s paper 'Discontinuous groups and abelian varieties' (1969) * Theta characteristics of an algebraic curve (1971) * An analytic construction of degenerating abelian varieties over complete rings (1972) * A rank 2 vector bundle of P^4 with 15,000 symmetries (with G. Horrocks) (1973) * Prym Varieties I (1974) * A new approach to compactifying locally symmetric varieties (1973) * Hirzebruch’s Proportionality Theorem in the Non-Compact Case (1977) * On the Kodaira dimension of the Siegel modular variety (1983) * Part III. The Classification of Surfaces and Other Varieties * Commentary by Eckart Viehweg * Enriques’ classification of surfaces in char p: I (1969) * Enriques’ classification of surfaces in char p: II (with E. Bombieri) (1979) * Enriques’ classification of surfaces in char p: III (with E. Bombieri) (1976) * Pathologies of modular algebraicsurfaces (1961) * Further pathologies in algebraic geometry (1962) * Pathologies III (1967) * Rational equivalence of 0-cycles on surfaces (1969) * Some elementary examples of unirational varieties which are not rational (with M. Artin) (1972) * An algebraic surface with K ample, (K^2) = 9, p_g = q = 0 (1979)

Erscheint lt. Verlag 29.11.2010
Zusatzinfo 1 Illustrations, black and white; XIII, 795 p. 1 illus.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Gewicht 2460 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4419-1936-8 / 1441919368
ISBN-13 978-1-4419-1936-6 / 9781441919366
Zustand Neuware
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