A Survey on The Eisenbud-Green-Harris Conjecture

Sema Gunturkun

A Survey on The Eisenbud-Green-Harris Conjecture

Commutative Algebra 2021-04-07 v2

Authors: Sema Gunturkun

Abstract

The Eisenbud-Green-Harris (EGH) conjecture offers a generalization of the famous Macaulay's theorem about the Hilbert functions of homogeneous ideals in a polynomial ring $K[x_1,\ldots, x_n]$ . In this survey paper, we provide a good compilation of results on the EGH conjecture that have been obtained so far. We discuss these results in terms of their approaches.

Keywords

eisenbud-green-harris conjecture hilbert function homogeneous ideal polynomial ring macaulay theorem

Cite

@article{arxiv.2103.14106,
  title  = {A Survey on The Eisenbud-Green-Harris Conjecture},
  author = {Sema Gunturkun},
  journal= {arXiv preprint arXiv:2103.14106},
  year   = {2021}
}

Comments

Minor changes. This article is part of the special volume for Women in Commutative Algebra, Proceedings of the 2019 WICA Workshop

A Survey on The Eisenbud-Green-Harris Conjecture

Abstract

Keywords

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