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K-theory, local cohomology and tangent spaces to Hilbert schemes (1604.02629v4)
Published 10 Apr 2016 in math.AG
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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