4 citations · 8 across the 4 of their papers we have counts for
7 papers
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…
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…
The representation theory of the increasing monoid
Sema Güntürkün, Andrew Snowden
We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation category: for example, we describe the Grothen…
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…
Equivariant Hilbert Series of Monomial Orbits
Sema Gunturkun, Uwe Nagel
The equivariant Hilbert series of an ideal generated by an orbit of a monomial under the action of the monoid $\mbox{Inc}(\mathbb{N})$ of strictly increasing functions is determine…
Boij-Söderberg Decompositions of Lex-segment Ideals
Sema Gunturkun
Boij-Söderberg theory describes the scalar multiples of Betti diagrams of graded modules over a polynomial ring as a linear combination of pure diagrams with positive coefficients.…
Constructing Homogeneous Gorenstein Ideals
Sema Gunturkun, Uwe Nagel
In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in th…