On derived categories of K3 surfaces, symplectic automorphisms and the Conway group
On derived categories of K3 surfaces, symplectic automorphisms and the Conway group
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关于 K3 曲面、辛自同构和康威群的派生范畴
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发表时间：
2013
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通讯作者：
D. Huybrechts
中科院分区：
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作者：
D. Huybrechts
在这篇注记中，我们用K3曲面的导出等价来解释Gaberdiel，Hohenegger和Volpato最近的一个结果。证明了秩不变格至少为4的Conway群Co1的子群与射影K3曲面D(coh(X))的辛导等价群之间存在自然双射.
In this note we interpret a recent result of Gaberdiel, Hohenegger and Volpato in terms of derived equivalences of K3 surfaces. We prove that there is a natural bijection between subgroups of the Conway group Co_1 with invariant lattice of rank at least four and groups of symplectic derived equivalences of D(Coh(X)) of projective K3 surfaces fixing a stability condition.