Affordable Access

Publisher Website

Standard bases and geometric invariant theoryI. Initial ideals and state polytopes

Authors
Journal
Journal of Symbolic Computation
0747-7171
Publisher
Elsevier
Publication Date
Volume
6
Identifiers
DOI: 10.1016/s0747-7171(88)80043-9
Disciplines
  • Mathematics

Abstract

We characterise the set of monomial ideals that can occur as the initial ideals of a given homogeneous ideal Q in a polynomial ring, as one varies the monomial order used within a fixed coordinate system. This set is canonically bijective to the set of vertices of the state polytope of Q, a convex polytope arising in the geometric invariant theory of the Hilbert point of Q.

There are no comments yet on this publication. Be the first to share your thoughts.