# MathSciDoc: An Archive for Mathematician ∫

#### 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.
@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},
}