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Normalization of monomial ideals and Hilbert functions
Author(s):
Rafael
H.
Villarreal
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1933-1943.
MSC (2000):
Primary 13B22;
Secondary 13D40, 13F20
Posted:
February 19, 2008
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Abstract:
We study the normalization of a monomial ideal, and show how to compute its Hilbert function (using Ehrhart polynomials) if the ideal is zero dimensional. A positive lower bound for the second coefficient of the Hilbert polynomial is shown.
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Additional Information:
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@math.cinvestav.mx
DOI:
10.1090/S0002-9939-08-09182-X
PII:
S 0002-9939(08)09182-X
Keywords:
Normalization,
Hilbert polynomial,
monomial ideal,
Rees algebra
Received by editor(s):
September 15, 2005,
Received by editor(s) in revised form:
January 7, 2007
Posted:
February 19, 2008
Additional Notes:
This work was partially supported by CONACyT grant 49251-F and SNI, México
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2008,
American Mathematical Society
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