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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Theta line bundles and the determinant of the Hodge bundle
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by Alexis Kouvidakis PDF
Trans. Amer. Math. Soc. 352 (2000), 2553-2568 Request permission

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
  • MR Author ID: 317332
  • Email: kouvid@math.uch.gr
  • Received by editor(s): June 1, 1997
  • Published electronically: February 14, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 2553-2568
  • MSC (2000): Primary 14D05, 14K25, 14L35; Secondary 11F03
  • DOI: https://doi.org/10.1090/S0002-9947-00-02619-2
  • MathSciNet review: 1709775