English

A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theorem

Commutative Algebra 2007-05-23 v1

Abstract

A Theorem of Eakin and Sathaye relates the number of generators of a certain power of an ideal with the existence of a distinguished reduction for that ideal. We prove how this result can be obtained as a special case of Green's General Hyperplane Restriction Theorem.

Cite

@article{arxiv.math/0510397,
  title  = {A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theorem},
  author = {Giulio Caviglia},
  journal= {arXiv preprint arXiv:math/0510397},
  year   = {2007}
}

Comments

4 Pages

R2 v1 2026-07-22T17:26:05.804Z