4 papers · 1 filter
Zero loci of Bernstein-Sato ideals are not necessarily linear
Quan Shi, Yongxin Xu, Huaiqing Zuo
We find a polynomial map the zero locus of whose Bernstein-Sato ideal is not linear, giving a counterexample to a conjecture of N. Budur.
On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
Yongxin Xu, Huaiqing Zuo
We prove that the Bernstein-Sato polynomials of ideals satisfy the multiplicative Thom-Sebastiani property. This affirmatively settles a question of Shi and Zuo that extends a ques…
On the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals
Yifan Chen, Quan Shi, Yongxin Xu +1
We resolve the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals.
Hilbert series of second order jets of determinantal varieties
Yifan Chen, Yongxin Xu, Huaiqing Zuo
In this paper, we will investigate the jet schemes of determinantal varieties. It is quite often the case that the geometric information concerning the jet schemes of an algebraic…