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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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Abel’s theorem for twisted Jacobians
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by Donu Arapura and Kyungho Oh PDF
Trans. Amer. Math. Soc. 342 (1994), 421-433 Request permission

Abstract:

A twisted version of the Abel-Jacobi map, associated to a local system with finite monodromy on a smooth projectve complex curve, is introduced. An analogue of Abel’s theorem characterizing the kernel of this map is proved. The proof, which is new even in the classical case, involves reinterpreting the Abel-Jacobi map in the language of mixed Hodge structures and their extensions.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 342 (1994), 421-433
  • MSC: Primary 14C30; Secondary 14H40
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1162101-4
  • MathSciNet review: 1162101