“Motivic Lefschetz theorem for twisted Milnor hypersurfaces”
Venerdì 24 Maggio 2024, ore 11:30 - Sala Riunioni 7B1 - Kirill Zaynullin (University of Ottawa)
Abstract
We show that the Grothendieck-Chow motive of a smooth hyperplane section $Y$ of an inner twisted form $X$ of a Milnor hypersurface splits as a direct sum of shifted copies of the motive of the Severi-Brauer variety of the associated cyclic algebra $A$ and the motive of its maximal commutative subfield $L\subset A$. The proof is based on the non-triviality of the (monodromy) Galois action on the equivariant Chow group of $Y_L$.
This is a joint work with Rui Xiong.
