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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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Projective varieties of low codimension in characteristic $p>0$
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by Robert Speiser PDF
Trans. Amer. Math. Soc. 240 (1978), 329-343 Request permission

Abstract:

Let X be an s-dimensional closed Cohen-Macaulay subvariety of projective n-space, over an algebraically closed field of characteristic $p > 0$. Assume $s \geqslant \tfrac {1}{2}(n + 1)$. Then (1) every stratified vector bundle on X is trivial; (2) X is simply connected. Assertion (1) generalizes Gieseker’s result for projective space, while (2) is a strengthened analogue of results of Barth and Ogus in characteristic zero.
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 240 (1978), 329-343
  • MSC: Primary 14F05
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0491703-4
  • MathSciNet review: 0491703