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2016•Rocky Mountain Journal of MathematicsOpen access

Automorphisms of surfaces in a class of Wehler K3 surfaces with Picard number $4$

Arthur Baragar

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Abstract

In this paper, we find the group of automorphisms (up to finite index) for K3 surfaces in a class of Wehler K3 surfaces with Picard number $4$. In doing so, we demonstrate a variety of techniques, both general and ad hoc, that can be used to find the group of automorphisms of a K3 surface, particularly those with small Picard number.

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In this paper, we find the group of automorphisms (up to finite index) for K3 surfaces in a class of Wehler K3 surfaces with Picard number $4$. In doing so, we demonstrate a variety of techniques, both general and ad hoc, that can be used to find the group of automorphisms of a K3 surface, particularly those with small Picard number.

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Available abstract

In this paper, we find the group of automorphisms (up to finite index) for K3 surfaces in a class of Wehler K3 surfaces with Picard number $4$. In doing so, we demonstrate a variety of techniques, both general and ad hoc, that can be used to find the group of automorphisms of a K3 surface, particularly those with small Picard number.

Key concepts: Mathematics, Automorphism, Automorphisms of the symmetric and alternating groups, Picard group, Pure mathematics, Class (philosophy), Automorphism group, K3 surface

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