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The Beauville-Bogomolov class as a chara...
Markman, Eyal...

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The Beauville-Bogomolov class as a characteristic class by Markman, Eyal ( Author )
Lemonjar Open Access
N.A
31-07-2023
Let X be any compact Kahler manifold deformation equivalent to the Hilbert scheme of length n subschemes on a K3 surface, n>1. We construct over XxX a rank 2n-2 reflexive twisted sheaf E, which is locally free away from the diagonal. The characteristic classes of E are invariant under the diagonal action of an index two subgroup of the monodromy group. Given a point x in X, the restriction E_x of E to {x}xX has the following properties. (1) The characteristic class k_i(E_x) in H^{i,i}(X,Q) can not be expressed as a polynomial in classes of lower degree, if 1<i<(n+1)/2. (2) The Beauville-Bogomolov class is equal to c_2(TX)+2k_2(E_x).
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Article
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37.08 KB
English
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MYR 0.01
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http://arxiv.org/abs/1105.3223
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