3 citations · 3 across the 1 of their papers we have counts for
5 papers
Homological projective duality for the Segre cubic
Thorsten Beckmann, Pieter Belmans
The Segre cubic and Castelnuovo-Richmond quartic are two projectively dual hypersurfaces in , with a long and rich history starting in the 19th century. We will expla…
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…