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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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Compactifications of the generalized Jacobian variety
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by Tadao Oda and C. S. Seshadri PDF
Trans. Amer. Math. Soc. 253 (1979), 1-90 Request permission

Abstract:

The generalized Jacobian variety of an algebraic curve with at most ordinary double points is an extension of an abelian variety by an algebraic torus. Using the geometric invariant theory, we systematically compactify it in finitely many different ways and describe their structure in terms of torus embeddings. Our compactifications include all known good ones.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 253 (1979), 1-90
  • MSC: Primary 14K30; Secondary 14D25
  • DOI: https://doi.org/10.1090/S0002-9947-1979-0536936-4
  • MathSciNet review: 536936