Elliptic fibrations and symplectic automorphisms on K3 surfaces

Alice Garbagnati; Alessandra Sarti

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arXiv · 0801.3992

Elliptic fibrations and symplectic automorphisms on K3 surfaces

Alice Garbagnati·Alessandra Sarti

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Abstract

Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice $U^3\oplus E_8(-1)^2$ depends only on the group but not on the K3 surface. For all the groups in the list of Nikulin we compute the invariant sublattice and its orthogonal complement by using some special elliptic K3 surfaces.

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BibTeX RIS

Alice Garbagnati, Alessandra Sarti. 2009-02-23. Elliptic fibrations and symplectic automorphisms on K3 surfaces. https://arxiv.org/abs/0801.3992

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