Selected papers on the classification of varieties and moduli spaces /
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| Author / Creator: | Mumford, David, 1937- |
|---|---|
| Imprint: | New York : Springer, c2004. |
| Description: | xiii, 795 p. : ill. ; 25 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5361842 |
Table of Contents:
- Pt. I. Geometric invariant theory and the moduli of curves
- Commentary / David Gieseker
- 1. An elementary theorem in geometric invariant theory (1961)
- 2. Projective invariants of projective structures and applications (1962)
- 3. Periods of a moduli space of bundles on curves (1968) / David Mumford and P. Newstead
- 4. The structure of the moduli spaces of curves and abelian varieties (1970)
- 5. An analytic construction of degenerating curves over complete local rings (1972)
- 6. Pathologies IV (1975)
- 7. Stability of projective varieties (1977)
- 8. On the Kodaira dimension of the moduli space of curves (1982) / David Mumford and J. Harris
- 9. Towards an enumerative geometry of the moduli space of curves (1983)
- Pt. II. Theta functions and the moduli of abelian varieties
- Commentary / George Kempf and Herbert Lange
- 10. On the equations defining abelian varieties : I (1966)
- 11. On the equations defining abelian varieties : II (1967)
- 12. On the equations defining abelian varieties : III (1967)
- 13. Families of abelian varieties (1966)
- 14. A note on Shimura's paper "Discontinuous groups and abelian varieties" (1969)
- 15. Theta characteristics of an algebraic curve (1971)
- 16. An analytic construction of degenerating abelian varieties over complete rings (1972)
- 17. A rank 2 vector bundle of P[superscript 4] with 15,000 symmetries (1973) / David Mumford and G. Horrocks
- 18. Prym varieties (1974)
- 19. A new approach to compactifying locally symmetric varieties (1973)
- 20. Hirzebruch's proportionality theorem in the non-compact case (1977)
- 21. On the Kodaira dimension of the Siegel modular variety (1983)
- Pt. III. The classification of surfaces and other varieties
- Commentary / Eckart Viehweg
- 22. Enriques' classification of surfaces in char p : I (1969)
- 23. Enriques' classification of surfaces in char p : II (1979) / David Mumford and E. Bombieri
- 24. Enriques' classification of surfaces in char p : III (1976) / David Mumford and E. Bombieri
- 25. Pathologies of modular algebraic surfaces (1961)
- 26. Further pathologies in algebraic geometry (1962)
- 27. Pathologies III (1967)
- 28. Rational equivalence of 0-cycles on surfaces (1969)
- 29. Some elementary examples of unirational varieties which are not rational (1972) / David Mumford and M. Artin
- 30. An algebraic surface with K ample, (K[superscript 2]) = 9, p[subscript g] = q = 0 (1979).
