Symplectic Automorphisms and the Picard Group of a K3 Surface |
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| Authors: | Ursula Whitcher |
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| Institution: | 1. Department of Mathematics , University of Washington , Seattle, Washington, USA ursula@math.hmc.edu |
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| Abstract: | We consider the symplectic action of a finite group G on a K3 surface X. The Picard group of X has a primitive sublattice determined by G. We show how to compute the rank and discriminant of this sublattice. We then investigate the classification of symplectic actions by a fixed finite group, using moduli spaces of K3 surfaces with symplectic G-action. |
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| Keywords: | Algebraic geometry Complex surfaces K3 surfaces Moduli spaces |
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