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arXiv · 1604.02629

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

Sen Yang
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Abstract

By using K-theory, we construct a map from the tangent space to the Hilbert scheme at a point Y to the local cohomology group. And we use this map to answer affirmatively(after slight modification) a question by Mark Green and Phillip Griffiths in [8] on constructing a map from the tangent space to the Hilbert scheme to the tangent space to the cycle group.

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Sen Yang. 2018-06-08. K-theory, local cohomology and tangent spaces to Hilbert schemes. https://doi.org/10.2140/akt.2018.3.709

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