3 citations · 6 across the 7 of their papers we have counts for
8 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…
Integral Fourier transforms and the integral Hodge conjecture for one-cycles on abelian varieties
Thorsten Beckmann, Olivier de Gaay Fortman
We prove the integral Hodge conjecture for one-cycles on a principally polarized complex abelian variety whose minimal class is algebraic. In particular, any product of Jacobians o…
Atomic objects on hyper-Kähler manifolds
Thorsten Beckmann
We introduce and study the notion of atomic sheaves and complexes on higher-dimensional hyper-Kähler manifolds and show that they share many of the intriguing properties of simple…
Second Chern class and Fujiki constants of hyperkähler manifolds
Thorsten Beckmann, Jieao Song
We study characteristic classes on hyperkähler manifolds with a view towards the Verbitsky component. The case of the second Chern class leads to a conditional upper bound on the s…
Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure
Thorsten Beckmann
We introduce a linearised form of the square root of the Todd class inside the Verbitsky component of a hyper-Kähler manifold using the extended Mukai lattice. This enables us to d…
Equivariant categories of symplectic surfaces and fixed loci of Bridgeland moduli spaces
Thorsten Beckmann, Georg Oberdieck
Given an action of a finite group on the derived category of a smooth projective variety we relate the fixed loci of the induced -action on moduli spaces of stable objec…