Selected Papers

29.11.2010

Englisch

9781441919366

Springer US

Nein

David Mumford

795

Taschenbuch

On the Classification of Varieties and Moduli Spaces

PBMW - Algebraische Geometrie PBH - Zahlentheorie

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)

235 mm

15.5 cm