27 citations · 199 across the 48 of their papers we have counts for
55 papers
Hyperelliptic Brill-Noether loci
Nero Budur, An-Khuong Doan
Hyperelliptic theta divisors, and more generally, Brill-Noether loci, are shown to be locally catalecticant determinantal varieties. This has many consequences for their local and…
A remarkable subset of poles of the motivic zeta function
Nero Budur, Eduardo de Lorenzo Poza, Quan Shi +1
For any polynomial f with complex coefficients we find a remarkable subset of poles of the motivic zeta function. It is combinatorially determined by any log resolution and it admi…
Birational zeta functions
Tom Biesbrouck, Nero Budur, Johannes Nicaise +1
We define a birational analog of the motivic zeta function of a reduced polynomial in terms of minimal models. It admits an intrinsic meaning in terms of contact loci of arcs, an a…
Polar loci of multivariable archimedean zeta functions
Nero Budur, Quan Shi, Huaiqing Zuo
We determine, up to exponentiating, the polar locus of the multivariable archimedean zeta function associated to a finite collection of polynomials F. The result is the monodromy s…
Motivic principal value integrals for hyperplane arrangements
Nero Budur, Quan Shi, Huaiqing Zuo
A conjecture of Denef-Jacobs-Veys relates motivic principal value integrals of multivalued rational top-forms with cohomology support loci of rank one local systems. We give a stro…
Bernstein-Sato ideals
Nero Budur, Robin van der Veer, Lei Wu +1
In this paper, we review several results on the zero loci of Bernstein-Sato ideals related to singularities of hypersurfaces. This is an exposition for the Frontiers of Science Awa…