Row Ideals and Fibers of Morphisms

David Eisenbud; Bernd Ulrich

Row Ideals and Fibers of Morphisms

Commutative Algebra 2008-03-29 v2 Algebraic Geometry

Authors: David Eisenbud , Bernd Ulrich

Abstract

We study the fibers of a projective morphism and some related algebraic problems. We characterize the analytic spread of a homogeneous ideal through properties of its syzygy matrix. Powers of linearly presented ideals need not be linearly presented, but we identify a weaker linearity property that is preserved under taking powers.

Keywords

projective morphism fibers row ideals analytic spread homogeneous ideal syzygy matrix linearly presented ideals

Cite

@article{arxiv.0705.3931,
  title  = {Row Ideals and Fibers of Morphisms},
  author = {David Eisenbud and Bernd Ulrich},
  journal= {arXiv preprint arXiv:0705.3931},
  year   = {2008}
}

Comments

Many small improvements over the May 2007 version

Related papers

View all related →