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Surfaces with pg = 2, K2 = 3 and a pencil of curves of genus 2
Authors:Rosilde Fimognari and Paolo A. Oliverio
Affiliation:(1) Dipartimento di Matematica, Università della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende (CS), Italy
Abstract:We classify minimal smooth surfaces of general type with K 2 = 3, p g = 2 which admit a fibration of curves of genus 2.We prove that they form an irreducible set of dimension 22 in their moduli space.
Keywords:Pencil of curves  double covers  surfaces of general type
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