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The short resolution of a lattice ideal
Author(s):
Pilar
Pisón
Casares
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1081-1091.
MSC (2000):
Primary 13D02, 14M25;
Secondary 13P10, 68W30
Posted:
September 19, 2002
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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.
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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
DOI:
10.1090/S0002-9939-02-06767-9
PII:
S 0002-9939(02)06767-9
Keywords:
Minimal free resolutions,
simplicial complex,
syzygy,
lattice ideal,
regularity
Received by editor(s):
July 26, 2001
Received by editor(s) in revised form:
November 21, 2001
Posted:
September 19, 2002
Additional Notes:
This work was supported by MCyT Spain, BFM2000-1523
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2002,
American Mathematical Society
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