Classification of K3-surfaces with involution and maximal symplectic symmetry

Details Classification of K3-surfaces with involution and maximal symplectic symmetry Classification of K3-surfaces with involution and maximal symplectic symmetry

2009-06-10

arxiv.org/abs/0906.1867v1

Math. Ann. (2011), vol. 350, no. 4, pp 757-791

Mathematics

Algebraic Geometry

26 pages; final publication available at http://www.springerlink.com

Scientific paper

10.1007/s00208-010-0571-x

K3-surfaces with antisymplectic involution and compatible symplectic actions
of finite groups are considered. In this situation actions of large finite
groups of symplectic transformations are shown to arise via double covers of
Del Pezzo surfaces. A complete classification of K3-surfaces with maximal
symplectic symmetry is obtained.

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