Normal cones of monomial primes

Authors:
Reinhold Hübl and Irena Swanson

Journal:
Math. Comp. **72** (2003), 459-475

MSC (2000):
Primary 13-04, 13C14

DOI:
https://doi.org/10.1090/S0025-5718-02-01416-3

Published electronically:
June 6, 2002

MathSciNet review:
1933831

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Abstract | References | Similar Articles | Additional Information

Abstract: We explicitly calculate the normal cones of all monomial primes which define the curves of the form , where . All of these normal cones are reduced and Cohen-Macaulay, and their reduction numbers are independent of the reduction. These monomial primes are new examples of integrally closed ideals for which the product with the maximal homogeneous ideal is also integrally closed.

Substantial use was made of the computer algebra packages Maple and Macaulay2.

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Additional Information

**Reinhold Hübl**

Affiliation:
NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany

Email:
Reinhold.Huebl@sap.com

**Irena Swanson**

Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003-8001

Email:
iswanson@nmsu.edu

DOI:
https://doi.org/10.1090/S0025-5718-02-01416-3

Keywords:
Monomial prime,
normal cone,
Cohen-Macaulay,
Gorenstein

Received by editor(s):
February 22, 2000

Received by editor(s) in revised form:
February 28, 2001

Published electronically:
June 6, 2002

Additional Notes:
The first author was partially supported by a Heisenberg–Stipendium of the DFG

The second author was partially supported by the National Science Foundation.

Article copyright:
© Copyright 2002
American Mathematical Society