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Book Information:
Author:
David Mumford
Title:
Selected papers on the classification of varieties and moduli spaces
Additional book information:
Springer-Verlag,
New York,
2004,
xiv+795 pp.,
ISBN 0-387-21092-X,
US$99.00$
A. Ash, D. Mumford, M. Rapoport, and Y. Tai, Smooth compactification of locally symmetric varieties, Lie Groups: History, Frontiers and Applications, Vol. IV, Math Sci Press, Brookline, Mass., 1975. MR 0457437
T. L. Saaty and G. Suzuki, A nonlinear programming model in optimum communication satellite use, SIAM Rev. 7 (1965), 403–408. MR 183539, DOI 10.1137/1007076
Alessio Corti and Miles Reid (eds.), Explicit birational geometry of 3-folds, London Mathematical Society Lecture Note Series, vol. 281, Cambridge University Press, Cambridge, 2000. MR 1798978, DOI 10.1017/CBO9780511758942
P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 75–109. MR 262240
A. Grothendieck, Éléments de géométrie algébrique. I. Le langage des schémas, Inst. Hautes Études Sci. Publ. Math. 4 (1960), 228 (French). MR 217083
[Gro69] A. Grothendieck et al., Séminaire de géométrie algébrique du Bois Marie, 1-7, 12 published volumes, 1960-69.
Joe Harris and David Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), no. 1, 23–88. With an appendix by William Fulton. MR 664324, DOI 10.1007/BF01393371
G. Kempf, Finn Faye Knudsen, D. Mumford, and B. Saint-Donat, Toroidal embeddings. I, Lecture Notes in Mathematics, Vol. 339, Springer-Verlag, Berlin-New York, 1973. MR 0335518
David Mumford, The topology of normal singularities of an algebraic surface and a criterion for simplicity, Inst. Hautes Études Sci. Publ. Math. 9 (1961), 5–22. MR 153682
David Mumford, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 34, Springer-Verlag, Berlin-New York, 1965. MR 0214602
David Mumford, Picard groups of moduli problems, Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963) Harper & Row, New York, 1965, pp. 33–81. MR 0201443
D. Mumford, On the equations defining abelian varieties. I, Invent. Math. 1 (1966), 287–354. MR 204427, DOI 10.1007/BF01389737
David Mumford, On the Kodaira dimension of the Siegel modular variety, Algebraic geometry—open problems (Ravello, 1982) Lecture Notes in Math., vol. 997, Springer, Berlin, 1983, pp. 348–375. MR 714757, DOI 10.1007/BFb0061652
Miles Reid, Tendencious survey of $3$-folds, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 333–344. MR 927962
J. Tate, The work of David Mumford, Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 11–15. MR 0414290
- [AMRT75]
- A. Ash, D. Mumford, M. Rapoport, and Y. Tai, Smooth compactification of locally symmetric varieties, Math. Sci. Press, Brookline, Mass., 1975, Lie Groups: History, Frontiers and Applications, Vol. IV. MR 0457437
- [CH01]
- Jungkai A. Chen and Christopher D. Hacon, Characterization of abelian varieties, Invent. Math. 143 (2001), no. 2, 435-447 MR 0183539
- [CR00]
- Alessio Corti and Miles Reid (eds.), Explicit birational geometry of 3-folds, London Mathematical Society Lecture Note Series, vol. 281, Cambridge University Press, Cambridge, 2000. MR 1798978
- [DM69]
- P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. (1969), no. 36, 75-100. MR 0262240
- [Gro67]
- A. Grothendieck, Éléments de géométrie algébrique, I-IV, Inst. Hautes Études Sci. Publ. Math. (1960-67), no. 4, 8, 11, 17, 20, 24, 28, 32. MR 0217083, MR 0217084 (36:177b), MR 0217083, MR 0163911 (29:1210), MR 0173675 (30:3885), MR 0199181, MR 0217086 (36:178), MR 0238860 (39:220)
- [Gro69]
- A. Grothendieck et al., Séminaire de géométrie algébrique du Bois Marie, 1-7, 12 published volumes, 1960-69.
- [HM82]
- Joe Harris and David Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), no. 1, 23-88. MR 0664324
- [KKMSD73]
- G. Kempf, Finn Faye Knudsen, D. Mumford, and B. Saint-Donat, Toroidal embeddings. I, Springer-Verlag, Berlin, 1973, Lecture Notes in Mathematics, Vol. 339. MR 0335518
- [Mum61]
- David Mumford, The topology of normal singularities of an algebraic surface and a criterion for simplicity, Inst. Hautes Études Sci. PUbl. Math. (1961), no. 9, 5-22. MR 0153682
- [Mum65a]
- -, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Band 34, Springer-Verlag, Berlin, 1965. MR 0214602
- [Mum65b]
- -, Picard groups of moduli problems, Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963), Harper & Row, New York, 1965, pp. 33-81. MR 0201443
- [Mum66]
- D. Mumford, On the equations defining abelian varieties. I, Invent. Math. 1 (1966), 287-354. MR 0204427 (34:4269)
- [Mum83]
- David Mumford, On the Kodaira dimension of the Siegel modular variety, Algebraic geometry--open problems (Ravello, 1982), Lecture Notes in Math., vol. 997, Springer, Berlin, 1983, pp. 348-375. MR 0714757
- [Rei87]
- Miles Reid, Tendencious survey of 3-folds, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 333-344. MR 0927962
- [Tat75]
- J. Tate, The work of David Mumford, Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1, Canad. Math. Congress, Montreal, Que., 1975, pp. 11-15. MR 0414290
Review Information:
Reviewer:
János Kollár
Affiliation:
Princeton University
Email:
kollar@math.princeton.edu
Journal:
Bull. Amer. Math. Soc.
43 (2006), 111-114
Published electronically:
July 5, 2005
Review copyright:
© Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
