Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Set-theoretic complete intersections in characteristic $p$

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
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

Abstract: We describe a class of toric varieties which are set-theoretic complete intersections only over fields of one positive characteristic $p$.


References:

1.
M. Barile, Arithmetical ranks of ideals associated to symmetric and alternating matrices, J. Algebra 176 (1995), 59-82. MR 1345294 (96h:13027)

2.
M. Barile, M. Morales, A. Thoma, On Simplicial Toric Varieties Which Are Set-Theoretic Complete Intersections, J. Algebra 226 (2000), 880-892. MR 1752767 (2001i:14066)

3.
M. Barile, M. Morales, A. Thoma, Set-Theoretic Complete Intersections on Binomials, Proc. AMS 130 (2002), 1893-1903. MR 1896020 (2003f:14058)

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)

6.
J. S. Milne, Étale cohomology, Princeton University Press, Princeton, 1980. MR 0559531 (81j:14002)

7.
J.C. Rosales, On Presentations of Subsemigroups of ${\mathbb{N} }^n$, Semigroup Forum 55 (1997), 152-159. MR 1457760 (98h:20104)


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14M10, 14M25, 14F20, 20M05

Retrieve articles in all Journals with MSC (2000): 14M10, 14M25, 14F20, 20M05


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


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google