Normal cones of monomial primes

Huebl, Reinhold and Swanson, Irena (2003) Normal cones of monomial primes. MATHEMATICS OF COMPUTATION, 72 (241). pp. 459-475. ISSN 0025-5718

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Abstract

We explicitly calculate the normal cones of all monomial primes which define the curves of the form (t(L), t(L) + 1,..., t(L+n)), where n less than or equal to 4. 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.

Item Type: Article
Uncontrolled Keywords: FIBER CONE; IDEALS; EVOLUTIONS; POWERS; CURVES; monomial prime; normal cone; Cohen-Macaulay; Gorenstein
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Aug 2021 10:29
Last Modified: 05 Aug 2021 10:29
URI: https://pred.uni-regensburg.de/id/eprint/39493

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