The short resolution of a lattice ideal
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Abstract:
The short resolution of a lattice ideal is a free resolution over a polynomial ring whose number of variables is the number of extremal rays in the associated cone. A combinatorial description of this resolution is given. In the homogeneous case, the regularity can be computed from this resolution.References
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Additional Information
- Pilar Pisón Casares
- Affiliation: Departamento de Álgebra, Facultad de Matemáticas, University of Sevilla, Apartado 1160, 41080 Sevilla, Spain
- Email: pilar@algebra.us.es, ppison@us.es
- Received by editor(s): July 26, 2001
- Received by editor(s) in revised form: November 21, 2001
- Published electronically: September 19, 2002
- Additional Notes: This work was supported by MCyT Spain, BFM2000-1523
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1081-1091
- MSC (2000): Primary 13D02, 14M25; Secondary 13P10, 68W30
- DOI: https://doi.org/10.1090/S0002-9939-02-06767-9
- MathSciNet review: 1948098