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ISSN 1088-6826(e) ISSN 0002-9939(p)

Set-theoretic complete intersections in characteristic

Author(s): Margherita Barile; Gennady Lyubeznik
Journal: Proc. Amer. Math. Soc. 133 (2005), 3199-3209.
MSC (2000): Primary 14M10, 14M25; Secondary 14F20, 20M05
Posted: 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 .

References:

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4.: W. Bruns, R. Schwänzl, The number of equations defining a determinantal variety, Bull. London Math. Soc. 22 (1990), 439-445. MR 1082012 (91k:14035)
5.: M. Chalupnik, P. Kowalski, Lazard's Theorem for differential algebraic groups and proalgebraic groups, Pac. J. Math. 202 (2002), 305-312. MR 1887766 (2002k:12015)
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7.: J.C. Rosales, On Presentations of Subsemigroups of ${\mathbb{N} }^n$ , Semigroup Forum 55 (1997), 152-159. MR 1457760 (98h:20104)

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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: 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
Posted: 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
Copyright of article: Copyright 2005, American Mathematical Society

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