On a logarithmic version of the derived McKay correspondence

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Title: On a logarithmic version of the derived McKay correspondence
Authors: Scherotzke, S
Sibilla, N
Talpo, M
Item Type: Working Paper
Abstract: We globalize the derived version of the McKay correspondence of Bridgeland-King-Reid, proven by Kawamata in the case of abelian quotient singularities, to certain log algebraic stacks with locally free log structure. The two sides of the correspondence are given respectively by the infinite root stack and by a certain version of the valuativization (the projective limit of every possible log blow-up). Our results imply, in particular, that in good cases the category of coherent parabolic sheaves with rational weights is invariant under log blow-up, up to Morita equivalence.
Issue Date: 10-Jul-2018
URI: http://hdl.handle.net/10044/1/63134
Publisher: arXiv
Copyright Statement: © 2018 The author(s).
Keywords: math.AG
14F05, 14D06, 14E16
0101 Pure Mathematics
General Mathematics
Notes: v3: Implemented referee's suggestions. 55 pages. Final version.
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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