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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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Index theory on curves
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by Peter Haskell PDF
Trans. Amer. Math. Soc. 288 (1985), 591-604 Request permission

Abstract:

This paper constructs from the $\bar \partial$-operator on the smooth part of a complex projective algebraic curve a cycle in the analytically defined $K$ homology of the curve. The paper identifies the corresponding cycle in the topologically defined $K$ homology.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 288 (1985), 591-604
  • MSC: Primary 58G10; Secondary 46L80, 46M20, 58G12
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0776394-0
  • MathSciNet review: 776394