Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629007 | Applied Mathematics and Computation | 2013 | 10 Pages |
Abstract
Given a witness set for an irreducible variety V and a linear map Ï, we describe membership tests for both the constructible algebraic set Ï(V) and the algebraic set Ï(V)¯. We also provide applications and examples of these new tests including computing the codimension one components of Ï(V)¯⧹Ï(V)¯. Additionally, we also describe computing the geometric genus of a curve section of an irreducible component of the solution set of a polynomial system and a test for deciding whether a plane quartic curve is a Lüroth quartic.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jonathan D. Hauenstein, Andrew J. Sommese,