22 citations · 62 across the 35 of their papers we have counts for
37 papers
Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals
Trung Chau, Tài Huy Hà, A. V. Jayanthan +1
Let be a squarefree monomial ideal, and let denote the maximum degree of a minimal generator of . We prove that \[ v(I^t)\le v(I^{(t)})+(t-1)(d-1) \] for all , wh…
The v-numbers of permanental ideals
Trung Chau, A. V. Jayanthan
In this article, we compute the $\vv$-number of permanental ideals of generic, generic symmetric, and generic Hankel matrices.
Classification of unmixed parity binomial edge ideals of cactus and chordal graphs
Deblina Dey, A. V. Jayanthan, Sarang Sane
In this article, we characterize all unmixed and Cohen-Macaulay parity binomial edge ideals of cactus and chordal graphs in terms of the structural properties of the graph.
(Generalized) binomial edge ideals and their regularity
A. V. Jayanthan, Arvind Kumar
In this article, we survey the recent results on the Castelnuovo-Mumford regularity of binomial edge ideals and generalized binomial edge ideals. We also generalize some of the kno…
Resurgence number and convex body associated to pairs of graded families of ideals
Tai Huy Ha, A. V. Jayanthan, Arvind Kumar +1
We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families co…
Partial Betti splittings with applications to binomial edge ideals
A. V. Jayanthan, Aniketh Sivakumar, Adam Van Tuyl
We introduce the notion of a partial Betti splitting of a homogeneous ideal, generalizing the notion of a Betti splitting first given by Francisco, Hà, and Van Tuyl. Given a homoge…