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Normal cones of monomial primes

Authors:	Reinhold Hü bl Irena Swanson

Institution:	NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany ; Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003-8001

Abstract:	We explicitly calculate the normal cones of all monomial primes which define the curves of the form $(t^{L}, t^{L+1}, \ldots , t^{L+n})$ , where $n \le 4$ . 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.

Keywords:	Monomial prime normal cone Cohen-Macaulay Gorenstein

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