Vanishing cohomology and Betti bounds for complex projective hypersurfaces

by Mr Mohit Upamanyu (TIFR, Mumbai)

Wednesday 1 Feb 2023, 16:00 → 17:00 Asia/Kolkata

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 https://arxiv.org/pdf/2004.07686.pdf