Normal cones of monomial primes
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- by Reinhold Hübl and Irena Swanson PDF
- Math. Comp. 72 (2003), 459-475 Request permission
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.References
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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
- MR Author ID: 320892
- Email: iswanson@nmsu.edu
- 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. - © Copyright 2002 American Mathematical Society
- Journal: Math. Comp. 72 (2003), 459-475
- MSC (2000): Primary 13-04, 13C14
- DOI: https://doi.org/10.1090/S0025-5718-02-01416-3
- MathSciNet review: 1933831