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Surfaces with pg = q = 2, K2 = 6, and Albanese Map of Degree 2
Published online by Cambridge University Press: 20 November 2018
Abstract
We classify minimal surfaces of general type with ${{p}_{g}}=q=2$ and ${{K}^{2}}=6$ whose Albanese map is a generically finite double cover. We show that the corresponding moduli space is the disjoint union of three generically smooth irreducible components ${{\mathcal{M}}_{Ia}},\,{{\mathcal{M}}_{Ib}},\,{{\mathcal{M}}_{II}}$ of dimension 4, 4, 3, respectively.
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- Research Article
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- Copyright © Canadian Mathematical Society 2013