72 citations · 252 across the 28 of their papers we have counts for
34 papers
The Cautis-Logvinenko conjecture
Alastair Craw, Hsueh-Yung Lin, Ryo Yamagishi
For a finite subgroup , the Cautis--Logvinenko conjecture states that for each nontrivial irreducible representation of , the image…
Hilbert schemes of points on canonical surfaces
Alastair Craw, Ryo Yamagishi
For , we investigate the Hilbert scheme of -points on a surface with canonical singularities. We generalise the well-known theorem of Fogarty by showing that the un…
Hilbert schemes for crepant partial resolutions
Alastair Craw, Ruth Wye
For , we construct the underlying reduced subscheme of the Hilbert scheme of points on any crepant partial resolution of a Kleinian singularity as a Nakajima quiver va…
Orbifold Quot schemes via the Le Bruyn-Procesi theorem
Alastair Craw
This note provides a short proof of the fact that the reduced scheme underlying each orbifold Quot scheme associated to a finite subgroup of SL(2,C) is isomorphic to a Nakajima qui…
The semi-invariant ring as the Cox ring of a GIT quotient
Gwyn Bellamy, Alastair Craw, Travis Schedler
We study GIT quotients whose linearisation map defines an isomorphism between the group of characters of and the Picard group of modulo torsion. Our…
The Le Bruyn-Procesi theorem following Lusztig
Alastair Craw, Ryo Yamagishi
For any quiver and dimension vector , Le Bruyn-Procesi proved that the invariant ring for the action of the change of basis group on the space of representations $\text{Rep}…