Abstract
We study the natural Gieseker and Uhlenbeck compactifications of the rational Calogero–Moser phase space. The Gieseker compactification is smooth and provides a small resolution of the Uhlenbeck compactification. We use the resolution to compute the stalks of the IC-sheaf of the Uhlenbeck compactification.
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To Joseph Bernstein on his 70th birthday, with gratitude and admiration
The work of M.F. and A.K. has been funded by the Russian Academic Excellence Project ‘5-100’. V.G. was supported in part by the NSF grant DMS-1303462. A.I. was supported by the grants NSh-5138.2014.1 and RFBR 15-01-09242. A.K. was partially supported by RFBR 14-01-00416, 15-01-02164, 15-51-50045 and by the Simons Foundation.
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Finkelberg, M., Ginzburg, V., Ionov, A. et al. Intersection cohomology of the Uhlenbeck compactification of the Calogero–Moser space. Sel. Math. New Ser. 22, 2491–2534 (2016). https://doi.org/10.1007/s00029-016-0279-1
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DOI: https://doi.org/10.1007/s00029-016-0279-1