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Codimension theorems for complete toric varieties
Author(s):
David
Cox;
Alicia
Dickenstein
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3153-3162.
MSC (2000):
Primary 14M25
Posted:
May 2, 2005
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Abstract:
Let  be a complete toric variety with homogeneous coordinate ring  . In this article, we compute upper and lower bounds for the codimension in the critical degree of ideals of  generated by  homogeneous polynomials that do not vanish simultaneously on  .
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Additional Information:
David
Cox
Affiliation:
Department of Mathematics and Computer Science, Amherst College, Amherst, Massachusetts 01002-5000
Email:
dac@cs.amherst.edu
Alicia
Dickenstein
Affiliation:
Departamento de Matemática, F.C.E. y N., Universidad de Buenos Aires, Cuidad Universitaria--Pabellón I, 1428 Buenos Aires, Argentina
Email:
alidick@dm.uba.ar
DOI:
10.1090/S0002-9939-05-07956-6
PII:
S 0002-9939(05)07956-6
Keywords:
Toric variety
Received by editor(s):
November 10, 2003
Received by editor(s) in revised form:
June 14, 2004
Posted:
May 2, 2005
Additional Notes:
The first author thanks the Mathematics Department of the University of Buenos Aires for their hospitality during his visits there in 2001 and 2003.
The second author was supported by ANPCYT 03-06568, UBACYT X-052 and Conicet, Argentina.
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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