Journal
KYOTO JOURNAL OF MATHEMATICS
Volume 53, Issue 2, Pages 261-344Publisher
DUKE UNIV PRESS
DOI: 10.1215/21562261-2081234
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Funding
- Japan Society for the Promotion of Science [18340010, 22340010]
- Max Planck Institute fur Mathematik
- Grants-in-Aid for Scientific Research [22340010, 18340010] Funding Source: KAKEN
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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 appear in the theory of Fourier-Mukai transforms. As an application, we generalize the Fourier-Mukai duality for K3 surfaces to our situation.
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