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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Picard sequences of a fibration
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by Andy R. Magid PDF
Proc. Amer. Math. Soc. 53 (1975), 37-40 Request permission

Abstract:

A fibration, in the Zariski topology, of algebraic varieties leads to an exact sequence of cohomology of the relative units functor. Under suitable hypotheses, the exact sequence can be interpreted as a sequence including the Picard groups of the base variety, the total space, and the fibre.
References
    M. Artin, Grothendieck topologies, Mathematics Department Lecture Notes, Harvard Univ., Cambridge, Mass., 1962. R. Fossum and B. Iverson, On Picard groups of algebraic fibre spaces, Aarhus Universitet Matematisk Institut Preprint Series, no. 19, Aarhus, Denmark, 1972/73.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 37-40
  • MSC: Primary 14D99
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0382275-6
  • MathSciNet review: 0382275