84 citations · 210 across the 19 of their papers we have counts for
4 papers · 1 filter
Contractions of 3-folds: deformations and invariants
Will Donovan
This note discusses recent new approaches to studying flopping curves on 3-folds. In a joint paper, the author and Michael Wemyss introduced a 3-fold invariant, the contraction alg…
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…
Mukai flops and P-twists
N. Addington, W. Donovan, C. Meachan
Associated to a Mukai flop X ---> X' is on the one hand a sequence of equivalences D(X) -> D(X'), due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences…
Twists and braids for general 3-fold flops
Will Donovan, Michael Wemyss
Given a quasi-projective 3-fold X with only Gorenstein terminal singularities, we prove that the flop functors beginning at X satisfy higher degree braid relations, with the combin…