Automorphism groups in a family of K3 surfaces

2001/04/04 by Keiji Oguiso, Oguiso, Keiji
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0104049

A few explanations and some typological errors are repaired

arxiv created 2001/04/13 · arxiv updated 2009/11/30

Abstract

A few facts concerning the phrase "the automorphism groups become larger at special points of the moduli of K3 surfaces" are presented. It is also shown that the automorphism groups are of infinite order over a dense subset in any one-dimensional non-trivial family of projective K3 surfaces.

Related

• Cyclic groups of automorphisms of complex K3 surfaces
• Some examples of K3 surfaces with infinite automorphism group which\n preserves an elliptic pencil
• Orders of automorphisms of K3 surfaces
• K3 surfaces with maximal finite automorphism groups containing M_20
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