School of Mathematics Seminars and Lectures

Vanishing cohomology and Betti bounds for complex projective hypersurfaces

by Mr. Mohit Upamanyu (TIFR, Mumbai)

Wednesday, February 1, 2023 from to (Asia/Kolkata)
at AG-77
Abstract: Let V be a (possibly singular) hypersurface in $P^n(C)$. In this
talk we define the Deligne vanishing cycle complex. We prove a vanishing
result for the hypercohomlogy of the Deligne vanishing cycle complex, and
use it to derive various results about singular cohomology of V.

This is work of Laurentiu Maxim, Laurentiu Paunescu, and Mihai Tibar. The
preprint can be found at