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Theta line bundles and the determinant of the Hodge bundle
Author(s):
Alexis
Kouvidakis
Journal:
Trans. Amer. Math. Soc.
352
(2000),
2553-2568.
MSC (2000):
Primary 14D05, 14K25, 14L35;
Secondary 11F03
Posted:
February 14, 2000
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Abstract:
We give an expression of the determinant of the push forward of a symmetric line bundle on a complex abelian fibration, in terms of the pull back of the relative dualizing sheaf via the zero section.
References:
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- Brasch H-J.: Lifting level
 -structures of abelian varieties. Arch. Math. 60, 553-562 (1993). MR 94b:14038 - [4]
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- Lange H. and Birkenhake Ch.: Complex Abelian Varieties. Springer-Verlag, 1992. MR 94j:14001
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- Mumford D.: Tata Lectures on Theta I. Progress in Mathematics, vol. 28, Birkhäuser, 1983. MR 85h:14026
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- Teixidor i Bigas M.: Half-canonical series on algebraic curves. Transactions of A.M.S. 302, 99-115 (1987). MR 88e:14037
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- Teixidor i Bigas M.: The divisor of curves with a vanishing theta-null. Compositio Math. 66, 15-22 (1988). MR 89c:14040
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Additional Information:
Alexis
Kouvidakis
Affiliation:
Department of Mathematics, University of Crete, 71409, Heraklion-Crete, Greece
Email:
kouvid@math.uch.gr
DOI:
10.1090/S0002-9947-00-02619-2
PII:
S 0002-9947(00)02619-2
Received by editor(s):
June 1, 1997
Posted:
February 14, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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