2 papers
math.AG2025
A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology
Pieter Belmans, Sergey Galkin, Naichung Conan Leung +3
It is known that the semisimplicity of quantum cohomology implies the vanishing of off-diagonal Hodge numbers (Hodge--Tateness). We investigate which hyperplane sections of homogen…
math.AG2025
Failure of Bott vanishing for (co)adjoint partial flag varieties
Pieter Belmans
Bott vanishing is a strong vanishing result for the cohomology of exterior powers of the cotangent bundle twisted by ample line bundles. Buch-Thomsen-Lauritzen-Mehta conjectured th…