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math.AG2026
Series of Fano quiver moduli from extended Dynkin quivers
Pieter Belmans, Markus Reineke
Associated to small extended Dynkin quivers, we construct series of Fano varieties of fixed Picard rank at most five and arbitrary even dimension, which admit a very explicit descr…
math.AG2026
Fano 4-fold quiver moduli from subspace quivers
Pieter Belmans, Markus Reineke
We classify the moduli spaces of representations of subspace quivers which are Fano fourfolds, under a natural assumption on the dimension vector. These moduli spaces can also be d…
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…