Derived McKay correspondence via pure-sheaf transforms |
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Authors: | Timothy Logvinenko |
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Institution: | (1) Department of Mathematics, Kungliga Tekniska hogskolan (KTH), 100 44 Stockholm, Sweden |
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Abstract: | In most cases where it has been shown to exist the derived McKay correspondence can be written as a Fourier–Mukai transform which sends point sheaves of the crepant resolution Y to pure sheaves in . We give a sufficient condition for to be the defining object of such a transform. We use it to construct the first example of the derived McKay correspondence
for a non-projective crepant resolution of . Along the way we extract more geometrical meaning out of the Intersection Theorem and learn to compute θ-stable families of G-constellations and their direct transforms. |
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Keywords: | 14E15 14J10 18E30 |
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