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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Projective varieties of low codimension in characteristic $ p>0$


Author: Robert Speiser
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
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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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DOI: https://doi.org/10.1090/S0002-9947-1978-0491703-4
Article copyright: © Copyright 1978 American Mathematical Society