48 citations · 146 across the 10 of their papers we have counts for
10 papers
Frobenius and spherical codomains and neighbourhoods
Andreas Hochenegger, Ciaran Meachan
Given an exact functor between triangulated categories which admits both adjoints and whose cotwist is either zero or an autoequivalence, we show how to associate a unique full tri…
Hochschild cohomology and deformations of -functors
Ciaran Meachan, Theo Raedschelders
Given a split -functor between smooth projective varieties, we provide necessary and sufficient conditions, in terms of the Ho…
Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational
Ciaran Meachan, Giovanni Mongardi, Kota Yoshioka
We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particular, this allows us to generate a plethora of examples of non-birational Hilbert…
Universal functors on symmetric quotient stacks of Abelian varieties
Andreas Krug, Ciaran Meachan
We consider certain universal functors on symmetric quotient stacks of Abelian varieties. In dimension two, we discover a family of -functors which induce new derived a…
A note on spherical functors
Ciaran Meachan
We provide a new and very short proof of the fact that a spherical functor between certain triangulated categories induces an autoequivalence.
Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences
N. Addington, W. Donovan, C. Meachan
We show that for many moduli spaces M of torsion sheaves on K3 surfaces S, the functor D(S) -> D(M) induced by the universal sheaf is a P-functor, hence can be used to construct an…
Birational Geometry of Singular Moduli Spaces of O'Grady Type
Ciaran Meachan, Ziyu Zhang
Following Bayer and Macrì, we study the birational geometry of singular moduli spaces of sheaves on a K3 surface which admit symplectic resolutions. More precisely, we use…
Spherical functors on the Kummer surface
Andreas Krug, Ciaran Meachan
We find two natural spherical functors associated to the Kummer surface and analyse how their induced twists fit with Bridgeland's conjecture on the derived autoequivalence group o…
Derived autoequivalences of generalised Kummer varieties
Ciaran Meachan
In this article, we construct new derived autoequivalences of generalised Kummer varieties. Together with Huybrechts-Thomas twists around -objects, these are the only…
Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface
Antony Maciocia, Ciaran Meachan
We compute moduli spaces of Bridgeland stable objects on an irreducible principally polarized complex abelian surface corresponding to twisted ideal sheaves. We use Fourier-Mukai t…