Perverse coherent sheaves and Fourier-Mukai transforms on surfaces

Kota Yoshioka

REVIEW

Perverse coherent sheaves and Fourier-Mukai transforms on surfaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1003.2522 v2 pith:GRYESZDA submitted 2010-03-12 math.AG

Perverse coherent sheaves and Fourier-Mukai transforms on surfaces

Kota Yoshioka This is my paper

classification math.AG

keywords sheavescoherentfourier-mukaiperversesurfacesdoublepointsrational

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We study perverse coherent sheaves on the resolution of rational double points. As examples, we consider rational double points on 2-dimensional moduli spaces of stable sheaves on K3 and elliptic surfaces. Then we show that perverse coherent sheaves appears in the theory of Fourier-Mukai transforms. As an application, we generalize the Fourier-Mukai duality for K3 surfaces to our situation.

Perverse coherent sheaves and Fourier-Mukai transforms on surfaces

discussion (0)