VANISHING OF THE NEGATIVE HOMOTOPY -THEORY OF QUOTIENT SINGULARITIES
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1608.08213.pdf
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351104a2c2f82b6213f09f6989bc028b
Author(s)
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
May 2017
Journal
Journal of the Institute of Mathematics of Jussieu
Publisher
Cambridge University Press (CUP)
Citation
Tabuada, Gonçalo. “VANISHING OF THE NEGATIVE HOMOTOPY -THEORY OF QUOTIENT SINGULARITIES.” Journal of the Institute of Mathematics of Jussieu (May 2017): 1–9 © 2017 Cambridge University Press
Version
Original manuscript
Abstract
Making use of Gruson–Raynaud’s technique of ‘platification par éclatement’, Kerz and Strunk proved that the negative homotopy -theory groups of a Noetherian scheme of Krull dimension vanish below . In this article, making use of noncommutative algebraic geometry, we improve this result in the case of quotient singularities by proving that the negative homotopy -theory groups vanish below . Furthermore, in the case of cyclic quotient singularities, we provide an explicit ‘upper bound’ for the first negative homotopy -theory group.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1017/S1474748017000172
