3 papers
math.AC2025
Computation of dominant ideals
Anna Maria Bigatti, Nursel Erey, Selvi Kara +4
We consider the problem of determining whether a monomial ideal is dominant. This property is critical for determining for which monomial ideals the Taylor resolution is minimal. W…
math.AC2025
The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs
Trung Chau, Nursel Erey, Aryaman Maithani
Every monomial ideal has a Scarf complex, which is a subcomplex of its minimal free resolution. We say that is Scarf if its Scarf complex is also its minimal free resolutio…
math.AC2024
Gapfree graphs and powers of edge ideals with linear quotients
Nursel Erey, Sara Faridi, TÃ i Huy HÃ +3
Let be the edge ideal of a gapfree graph . An open conjecture of Nevo and Peeva states that has linear resolution for . We present a promising approach t…