English

Equations of 2-linear ideals and arithmetical rank

Commutative Algebra 2008-03-12 v1 Algebraic Geometry

Abstract

In this paper we consider reduced homogeneous ideals \JcalS\Jcal\subset S of a polynomial ring SS, having a 2-linear resolution. 1. We study systems of generators of \JcalS\Jcal\subset S. 2. We compute the arithmetical rank for a large class of projective curves having a 2-linear resolution. 3. We show that the fiber cone \proj\Fcal(I\Lcal)\proj \Fcal(I_{\Lcal}) of a lattice ideal I\LcalI_{\Lcal} of codimension two is a set theoretical complete intersection.

Keywords

Cite

@article{arxiv.0803.1535,
  title  = {Equations of 2-linear ideals and arithmetical rank},
  author = {Marcel Morales},
  journal= {arXiv preprint arXiv:0803.1535},
  year   = {2008}
}
R2 v1 2026-06-21T10:20:25.320Z