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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Theta line bundles and the determinant of the Hodge bundle


Author: Alexis Kouvidakis
Journal: Trans. Amer. Math. Soc. 352 (2000), 2553-2568
MSC (2000): Primary 14D05, 14K25, 14L35; Secondary 11F03
Published electronically: February 14, 2000
MathSciNet review: 1709775
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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.


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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: http://dx.doi.org/10.1090/S0002-9947-00-02619-2
PII: S 0002-9947(00)02619-2
Received by editor(s): June 1, 1997
Published electronically: February 14, 2000
Article copyright: © Copyright 2000 American Mathematical Society