Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quotients of K3 Surfaces Modulo Involutions   Let X be a K3 surface with an involution g which has non-empty fixed locus
X^g and acts non-trivially on a non-zero holomorphic 2-form. We shall construct
all such pairs (X, g) in a canonical way, from some better known double
coverings of log del Pezzo surfaces of index at most 2 or rational elliptic
surfaces, and construct the only family of each of the three extremal cases
where X^g contains 10 (maximum possible) curves. We also classify rational log
Enriques surfaces of index 2. Our approach is more geometrical rather than
lattice-theoretical (see Nikulin's paper for the latter approach).

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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph