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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Generalized Weil’s reciprocity law and multiplicativity theorems
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by András Némethi PDF
Trans. Amer. Math. Soc. 349 (1997), 2687-2697 Request permission

Abstract:

Fix a one-dimensional group variety $G$ with Euler–characteristic $\chi (G)=0$, and a quasi–projective variety $Y$, both defined over $\mathbf {C}$. For any $f\in Hom(Y,G)$ and constructible sheaf $\mathcal {F}$ on $Y$, we construct an invariant $c_{\mathcal {F}}(f)\in G$, which provides substantial information about the topology of the fiber–structure of $f$ and the structure of $\mathcal {F}$ along the fibers of $f$. Moreover, $c_{\mathcal {F}}:Hom(Y,G)\to G$ is a group homomorphism.
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Additional Information
  • András Némethi
  • Affiliation: Institute of the Romanian Academy, Bucharest, Romania
  • Address at time of publication: The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210
  • Email: nemethi@math.ohio-state.edu
  • Received by editor(s): April 18, 1995
  • Additional Notes: Partially supported by NSF Grant No. DMS–9203482 and by the Netherlands Organisation for the Advancement of Scientific Research N.W.O
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 2687-2697
  • MSC (1991): Primary 14F05; Secondary 14B05
  • DOI: https://doi.org/10.1090/S0002-9947-97-01979-X
  • MathSciNet review: 1432205