On systems of binomials in the ideal of a toric variety
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- by Shalom Eliahou and Rafael H. Villarreal PDF
- Proc. Amer. Math. Soc. 130 (2002), 345-351 Request permission
Abstract:
Let $\Gamma$ be a toric set in the affine space ${\mathbb A}_k^n$. Given a set of binomials $g_1,\ldots ,g_r$ in the toric ideal $P$ of $\Gamma$, we give a criterion for deciding the equality rad($g_1,\ldots ,g_r$) = $P$. This criterion extends to arbitrary dimension, and to arbitrary fields, an earlier result which concerned only monomial curves over an algebraically closed field of characteristic zero.References
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Additional Information
- Shalom Eliahou
- Affiliation: Université du Littoral, LMPA Joseph Liouville, Bâtiment H. Poincaré-50 rue F. Buisson, BP 699 - 62228 Calais Cédex, France
- MR Author ID: 216209
- Email: eliahou@lmpa.univ-littoral.fr
- Rafael H. Villarreal
- Affiliation: Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14–740, 07000 México City, D.F., Mexico
- Email: vila@esfm.ipn.mx
- Received by editor(s): February 14, 2000
- Received by editor(s) in revised form: June 22, 2000
- Published electronically: June 6, 2001
- Additional Notes: This work was partially supported by CONACyT grant 27931E and SNI, México
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 345-351
- MSC (2000): Primary 13F20; Secondary 14H45
- DOI: https://doi.org/10.1090/S0002-9939-01-06024-5
- MathSciNet review: 1862111