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Surfaces with K2=8, pg=4 and canonical involution

Ingrid Bauer, Roberto Pignatelli

math.AGarXiv:math/0603094

Abstract

In this paper we classify completely all regular minimal surfaces with K2=8, pg=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 K2=8, pg=4. These families hit three different topological types.

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