Fitting ideals and multiple-points of surface parameterizations
Commutative Algebra
2013-10-21 v1 Algebraic Geometry
Abstract
Given a birational parameterization of an algebraic surface S in the projective space, the purpose of this paper is to investigate the sets of points on S whose preimage consists in k or more points, counting multiplicities. They are described explicitly in terms of Fitting ideals of some graded parts of the symmetric algebra associated to this parameterization.
Cite
@article{arxiv.1310.4915,
title = {Fitting ideals and multiple-points of surface parameterizations},
author = {Nicolás Botbol and Laurent Busé and Marc Chardin},
journal= {arXiv preprint arXiv:1310.4915},
year = {2013}
}