16 citations · 111 across the 28 of their papers we have counts for
5 papers · 1 filter
Comparison of two constructions of noncommutative surfaces with exceptional collections of length 4
Pieter Belmans, Dennis Presotto, Michel Van den Bergh
Recently the Euler forms on numerical Grothendieck groups of rank 4 whose properties mimick that of the Euler form of a smooth projective surface have been classified. This classif…
Hilbert squares: derived categories and deformations
Pieter Belmans, Lie Fu, Theo Raedschelders
For a smooth projective variety with exceptional structure sheaf, and the Hilbert scheme of two points on , we show that the Fourier-Mukai functor $…
The Hochschild cohomology ring of a global quotient orbifold
Cris Negron, Travis Schedler, Pieter Belmans +1
We study the cup product on the Hochschild cohomology of the stack quotient [X/G] of a smooth quasi-projective variety X by a finite group G. More specifically, we construct a G-eq…
Admissible subcategories in derived categories of moduli of vector bundles on curves
Pieter Belmans, Swarnava Mukhopadhyay
We show that the Poincaré bundle gives a fully faithful embedding from the derived category of a curve of sufficiently high genus into the derived category of its moduli space of b…
Examples violating Golyshev's canonical strip hypotheses
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
We give the first examples of smooth Fano and Calabi-Yau varieties violating the (narrow) canonical strip hypothesis, which concerns the location of the roots of Hilbert polynomial…