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math.AC2025
A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal
Rachel Diethorn, Sema Güntürkün, Alexis Hardesty +4
We examine the ideal in the polynomial ring , where is a field of characteristic zero or greater than . We…
math.AC2021
A Survey on The Eisenbud-Green-Harris Conjecture
Sema Gunturkun
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,\l…
math.AC2018
The Eisenbud-Green-Harris Conjecture for Defect Two Quadratic Ideals
Sema Gunturkun, Melvin Hochster
The Eisenbud-Green-Harris (EGH) conjecture states that a homogeneous ideal in a polynomial ring over a field that contains a regular sequence $f_1,\,\ld…