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Positive line bundles on arithmetic varieties
Author(s):
Shouwu
Zhang
Journal:
J. Amer. Math. Soc.
8
(1995),
187-221.
MSC:
Primary 14G40;
Secondary 11G35, 14G05
MathSciNet review:
1254133
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Additional information
References:
-
- [A]
- A. Arakelov, Intersection theory of divisors on an arithmetic surface, Izv. Akad. Nauk SSR Ser. Mat. 86 (1974), 1167-1180. MR 0472815 (57:12505)
- [BV]
- J. M. Bismut and E. Vasserot, The asymptotics of the Ray-Singer analytic torsion associated with higher powers of a positive line bundle, Comm. Math. Phys. 125 (1989), 355-367. MR 1016875 (91c:58141)
- [D]
- P. Deligne, La determinant de la cohomologie, Contemp. Math., no. 67, Amer. Math. Soc., Providence, RI, 1987. MR 902592 (89b:32038)
- [F1]
- G. Faltings, Calculus on arithmetic surfaces, Ann. of Math. (2) 119 (1984), 387-424. MR 740897 (86e:14009)
- [F2]
- -, Lectures on the arithmetic Riemann-Roch theorem, Notes by S. Zhang, Ann. of Math. Stud., vol. 127, Princeton Univ. Press, Princeton, NJ, 1992. MR 1158661 (93f:14006)
- [GS1]
- H. Gillet and C. Soulé, Arithmetic intersection theory, Inst. Hautes Études Sci. Publ. Math. 72 (1990), 94-174. MR 1087394 (92d:14016)
- [GS2]
- -, An arithmetic Riemann-Roch theorem, Invent. Math. 110 (1992), 473-543. MR 1189489 (94f:14019)
- [Ha]
- R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., vol. 156, Springer-Verlag, Berlin and New York, 1970. MR 0282977 (44:211)
- [Hi]
- H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) 79 (1964), 109-208. MR 0199184 (33:7333)
- [Lan]
- S. Lang, Fundamentals of diophantine geometry, Springer-Verlag, Berlin and New York, 1983. MR 715605 (85j:11005)
- [Lau]
- M. Laurent, Equations diophantiennes exponentielles, Invent. Math. 78 (1984), 299-327. MR 767195 (86j:11062)
- [Sa]
- P. Sarnak, Betti numbers of congruence groups, Preprint.
- [Sz]
- L. Szpiro, Sur les proprietes numeriques du dualisant-relatif d'une surface arithmetique, The Grothendieck Festschrift, Vol. 3, Birkhauser, Boston, 1990, pp. 229-246. MR 1106917 (92c:14017)
- [T]
- G. Tian, On a set of polarized Kahler metrics on algebraic manifolds, J. Differential Geom. 32 (1990), 99-130. MR 1064867 (91j:32031)
- [Z1]
- S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. (2) 136 (1992), 569-587. MR 1189866 (93j:14024)
- [Z2]
- -, Admissible pairing on a curve, Invent. Math. 112 (1993), 171-193. MR 1207481 (94h:14023)
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Additional Information:
DOI:
10.1090/S0894-0347-1995-1254133-7
PII:
S0894-0347-1995-1254133-7
Copyright of article:
Copyright
1995,
American Mathematical Society
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