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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
The QuiverTools package for SageMath and Julia
Pieter Belmans, Hans Franzen, Gianni Petrella
We introduce QuiverTools, a new software package, available in both a SageMath and Julia version, to study quivers and their moduli spaces of representations. Its key features are…
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…