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Surfaces with K^2=8, p_g=4 and canonical involution

Ingrid Bauer·Roberto Pignatelli
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Abstract

In this paper we classify completely all regular minimal surfaces with K^2=8, p_g=4 whose canonical map is composed with an involution. We obtain six unirational families of respective dimensions 28,28,32,33,38,34. The last two are irreducible components of the moduli space of minimal surfaces with K^2=8, p_g=4. These families hit three different topological types.

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Ingrid Bauer, Roberto Pignatelli. 2007-12-19. Surfaces with K^2=8, p_g=4 and canonical involution. https://arxiv.org/abs/math/0603094

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