A generalized Gaeta's Theorem
Algebraic Geometry
2014-01-14 v1 Commutative Algebra
Abstract
We generalize Gaeta's Theorem to the family of determinantal schemes. In other words, we show that the schemes defined by minors of a fixed size of a matrix with polynomial entries belong to the same G-biliaison class of a complete intersection whenever they have maximal possible codimension, given the size of the matrix and of the minors that define them.
Cite
@article{arxiv.math/0701456,
title = {A generalized Gaeta's Theorem},
author = {Elisa Gorla},
journal= {arXiv preprint arXiv:math/0701456},
year = {2014}
}
Comments
17 pages, submitted