Codimension theorems for complete toric varieties
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- by David Cox and Alicia Dickenstein PDF
- Proc. Amer. Math. Soc. 133 (2005), 3153-3162 Request permission
Abstract:
Let $X$ be a complete toric variety with homogeneous coordinate ring $S$. In this article, we compute upper and lower bounds for the codimension in the critical degree of ideals of $S$ generated by $\dim (X)+1$ homogeneous polynomials that do not vanish simultaneously on $X$.References
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Additional Information
- David Cox
- Affiliation: Department of Mathematics and Computer Science, Amherst College, Amherst, Massachusetts 01002-5000
- MR Author ID: 205908
- 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
- MR Author ID: 57755
- Email: alidick@dm.uba.ar
- Received by editor(s): November 10, 2003
- Received by editor(s) in revised form: June 14, 2004
- Published electronically: 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 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3153-3162
- MSC (2000): Primary 14M25
- DOI: https://doi.org/10.1090/S0002-9939-05-07956-6
- MathSciNet review: 2160176