External Scientific Member at BCAM.
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COHOMOLOGY OF CONTACT LOCI
Budur, N.
; Fernández de Bobadilla, J.; Le, Q.; Nguyen, D. (2022-01-01)
We construct a spectral sequence converging to the cohomology with compact support of the m-th contact locus of a complex polynomial. The first page is explicitly described in terms of a log resolution and coincides with ...
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Monodromy conjecture for semi-quasihomogeneous hypersurfaces
Blanco, G.; Budur, N.; Van der Veer, R. (2021)
We give a proof the monodromy conjecture relating the poles of motivic zeta functions with roots of b-functions for isolated quasihomogeneous hypersurfaces, and more generally for semi-quasihomogeneous hypersurfaces. We ...
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Monodromy conjecture for log generic polynomials
Budur, N.; Van der Veer, R. (2020)
A log generic hypersurface in P n with respect to a birational modification of P n is by definition the image of a generic element of a high power of an ample linear series on the modification. A log very-generic ...
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On the length of perverse sheaves on hyperplane arrangements
Budur, N.; Liu, Y. (2019)
Abstract. In this article we address the length of perverse sheaves arising as direct images of rank one local systems on complements of hyperplane arrangements. In the case of a cone over an essential line arrangement ...