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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Set-theoretic complete intersections in characteristic $p$


Authors: Margherita Barile and Gennady Lyubeznik
Journal: Proc. Amer. Math. Soc. 133 (2005), 3199-3209
MSC (2000): Primary 14M10, 14M25; Secondary 14F20, 20M05
Published electronically: May 9, 2005
MathSciNet review: 2160181
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Abstract: We describe a class of toric varieties which are set-theoretic complete intersections only over fields of one positive characteristic $p$.


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Additional Information

Margherita Barile
Affiliation: Dipartimento di Matematica, Università di Bari, Via E. Orabona 4, 70125 Bari, Italy
Email: barile@dm.uniba.it

Gennady Lyubeznik
Affiliation: School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street S.E., Minneapolis, Minnesota 55455
Email: gennady@math.umn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07951-7
PII: S 0002-9939(05)07951-7
Keywords: Set-theoretic complete intersections, toric varieties, \'etale cohomology, semigroup gluing
Received by editor(s): June 25, 2004
Published electronically: May 9, 2005
Additional Notes: The first author is grateful to the University of Minnesota for hospitality during the work on this paper.
The second author gratefully acknowledges NSF support.
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2005 American Mathematical Society