We classify minimal surfaces of general type with pg = 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 MIa, MIb, MII of dimension 4, 4, 3, respectively.
Surfaces with p(g) = q=2, K-2=6, and Albanese Map of Degree 2 / M. Penegini, F. Polizzi. - In: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. - ISSN 0008-414X. - 65:1(2013), pp. 195-221. [10.4153/CJM-2012-007-0]
Surfaces with p(g) = q=2, K-2=6, and Albanese Map of Degree 2
M. Penegini;
2013
Abstract
We classify minimal surfaces of general type with pg = 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 MIa, MIb, MII of dimension 4, 4, 3, respectively.
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