Rees cones of matroids
نویسنده
چکیده
Let I be a monomial ideal in a polynomial ring over a field k. If the Rees cone of I is quasi-ideal, we express the normalization of the Rees algebra of I in terms of an Ehrhart ring. We introduce the basis Rees cone of a matroid and study their facets. Then an application to Rees algebras is presented.
منابع مشابه
Rees cones and monomial rings of matroids
Using linear algebra methods we study certain algebraic properties of monomial rings and matroids. Let I be a monomial ideal in a polynomial ring over an arbitrary field. If the Rees cone of I is quasi-ideal, we express the normalization of the Rees algebra of I in terms of an Ehrhart ring. We introduce the basis Rees cone of a matroid (or a polymatroid) and study their facets. Some application...
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