14.2k citations
- Pennsylvania State UniversityUS156 papers
- Tata Institute of Fundamental ResearchIN156 papers
- Cardiff UniversityGB146 papers
- Centre National de la Recherche ScientifiqueFR144 papers
- Max Planck Institute for Gravitational PhysicsDE143 papers
- California Institute of TechnologyUS136 papers
- Inter-University Centre for Astronomy and AstrophysicsIN134 papers
- Leibniz University HannoverDE133 papers
- Montclair State UniversityUS133 papers
- University of BirminghamGB133 papers
- University of MississippiUS133 papers
- University of FloridaUS131 papers
32 papers · 1 filter
On a regularity-conjecture of generalized binomial edge ideals
Anuvinda J, Ranjana Mehta, Kamalesh Saha
In this paper, we prove the upper bound conjecture proposed by Saeedi Madani \& Kiani on the Castelnuovo-Mumford regularity of generalized binomial edge ideals. We give a combinato…
Waring decompositions of the product of two quadrics: the small rank cases
Meghana Bhat, Enrico Carlini, Saipriya Dubey +1
In this paper we study forms of the type using projections. For , and for any we describe: the forbidden locus, the stru…
Symmetric generalized numerical semigroups in with embedding dimension
Om Prakash Bhardwaj, Carmelo Cisto
In this article, we classify all symmetric generalized numerical semigroups in of embedding dimension . Consequently, we show that in this case the property of…
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…
Edge ideals with linear quotients and without homological linear quotients
Trung Chau, Kanoy Kumar Das, Aryaman Maithani
A monomial ideal is said to have homological linear quotients if for each , the homological shift ideal has linear quotients. It is a well-known fac…
Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions
Trung Chau
We prove that monomial ideals with at most five generators and their Artinian reductions have minimal generalized Barile-Macchia resolutions. As a corollary, these ideals have mini…