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Surfaces with $p_g=q=2$, $K^2=6$, and Albanese Map of Degree $2$ |
Canad. J. Math. 65(2013), 195-221
Published:2012-04-12
Printed: Feb 2013
Printed: Feb 2013
- Matteo Penegini,
- Francesco Polizzi,
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.
| Keywords: | surface of general type, abelian surface, Albanese map |
| MSC Classifications: |
14J29 - Surfaces of general type 14J10 - Families, moduli, classification: algebraic theory |