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K-theory,local cohomology and tangent spaces to Hilbert schemes

杨森 Southeast University/Tsinghua University

mathscidoc:1908.01017

Annals of K-theory, 3, (4), 2018
Using K-theory, we construct a map \pi from the tangent space to the Hilbert scheme at a point Y to the local cohomology group. We use this map \pi to answer (after slight modification) a question by Mark Green and Phillip Griffiths on constructing a map from the tangent space to the Hilbert scheme at a point to the tangent space to the cycle group.
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@inproceedings{杨森2018k-theory,local,
  title={K-theory,local cohomology and tangent spaces to Hilbert schemes},
  author={杨森},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190827151718065195466},
  booktitle={Annals of K-theory},
  volume={3},
  number={4},
  year={2018},
}
杨森. K-theory,local cohomology and tangent spaces to Hilbert schemes. 2018. Vol. 3. In Annals of K-theory. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190827151718065195466.
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