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Book Review
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Book Information
Author(s):
David Eisenbud and Joe Harris
Title:
The geometry of schemes
Additional book information:
Springer-Verlag,
New York,
2000,
x + 294 pp.,
$69.95,
ISBN 0-387-98638-3
References:
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- [Da2]
- Danilov V., Cohomology of algebraic varieties, in ``Algebraic Geometry, II'', Encyclopaedia Math. Sci., 35, Springer, Berlin (1996), 1-125. CMP 96:13
- [DM]
- Deligne P., Mumford D., The irreducibility of the space of curves of given genus, Publ. Math. Inst. Hautes Études Sci. 36 (1969), 75-109. MR 41:6850
- [EH]
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- [Gel]
- Gelfand I., Ideale und primäre Ideale in normierten Ringen, Mat. Sbornik, N.S. 9(51) (1941), 41-48. MR 3:52a
- [EGA1]
- Grothendieck A., Dieudonné J., Élements de géométrie algébrique, I: Le langage des schémas, Publ. Math. Inst. Hautes Études Sci. 4 (1960), 1-228. MR 29:1207
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- Grothendieck A., Dieudonné J., Élements de géométrie algébrique, II: Étude globale élementaire de quelques classes de morphismes, Publ. Math. Inst. Hautes Études Sci. 8 (1961), 1-222. MR 29:1208
- [EGA3
] - Grothendieck A., Dieudonné J., Élements de géométrie algébrique, III: Étude cohomologique des faisceaux cohérents (premiére partie), Publ. Math. Inst. Hautes Études Sci. 11 (1961), 1-167. MR 29:1209
- [EGA3
] - Grothendieck A., Dieudonné J., Élements de géométrie algébrique, III: Étude cohomologique des faisceaux cohérents (seconde partie), Publ. Math. Inst. Hautes Études Sci. 17 (1963), 1-91. MR 29:1210
- [EGA4
] - Grothendieck A., Dieudonné J., Élements de géométrie algébrique, IV: Étude locale des schémas et des morphismes de schémas (premiére partie), Publ. Math. Inst. Hautes Études Sci. 20 (1964), 1-259. MR 30:3885
- [EGA4
] - Grothendieck A., Dieudonné J., Élements de géométrie algébrique, IV: Étude locale des schémas et des morphismes de schémas (seconde partie), Publ. Math. Inst. Hautes Études Sci. 24 (1965), 1-231. MR 33:7330
- [EGA4
] - Grothendieck A., Dieudonné J., Élements de géométrie algébrique, IV: Étude locale des schémas et des morphismes de schémas (troisième partie), Publ. Math. Inst. Hautes Études Sci. 28 (1966), 1-255. MR 36:178
- [EGA4
] - Grothendieck A., Dieudonné J., Élements de géométrie algébrique, IV: Étude locale des schémas et des morphismes de schémas (quatrième partie), Publ. Math. Inst. Hautes Études Sci. 32 (1967), 1-361. MR 39:220
- [SGA1]
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tements étales et Groupe Fondamental, Lecture Notes in Math. 224, Springer-Verlag, Heidelberg, 1971. MR 50:7129 - [SGA2]
- Grothendieck A. et al., Cohomologie Locale des Faisceaux Cohérents et Théorème de Lefschetz Locale et Globaux, North-Holland, Amsterdam, 1968. MR 57:16294
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- Grothendieck A. et al., Schémas en Groupes, I, II, III, Lecture Notes in Math. 151-153, Springer-Verlag, Heidelberg, 1970. MR 43:223a; MR 43:223b; MR 43:223c
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- Grothendieck A. et al., Théorie des Topos et Cohomologie Étale des Schémas, Lecture Notes in Math. 269, 270, 305, Springer-Verlag, Heidelberg, 1972-73. MR 50:7130; MR 50:7131; MR 50:7132
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] - Deligne P. et al., Cohomologie Étale, Lecture Notes in Math. 569, Springer-Verlag, Heidelberg, 1977. MR 57:3132
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- Grothendieck A. et al., Cohomologie l-adique et fonctions L, Lecture Notes in Math. 589, Springer-Verlag, Heidelberg, 1977. MR 58:10907
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- Deligne P. , Katz N., Groupes de Monodromie en Géometrie Algébrique, Part II, Lecture Notes in Math. 340, Springer-Verlag, Heidelberg, 1973. MR 50:7135
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- Hartshorne R., Algebraic Geometry, Springer-Verlag, New York, 1977. MR 57:3116
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- Hironaka H., Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II. Ann. of Math. (2) 79 (1964), 109-203; Ann. Math. 4 (1960), 1-228. MR 33:7333
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- Mumford D., The red book of varieties and schemes, Lecture Notes in Math. 1358, Springer-Verlag, Berlin, 1988. MR 89k:14001
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- Stone M., The theory of representations for Boolean algebras, Trans. Math. Math. Soc. 40 (1936), 37-111. CMP 95:18
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Additional Information:
Reviewer(s):
Igor
Dolgachev
Affiliation:
University of Michigan
Email:
idolga@math.ISA.umich.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
38
(2001),
467-473.
MSC
(2000):
Primary 14-01, 14A15
PII:
S 0273-0979(01)00911-9
Posted:
June 12, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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