We study a family of surfaces of general type with pg= q= 2 and K2= 7 , originally constructed by C. Rito in [35]. We provide an alternative construction of these surfaces, that allows us to describe their Albanese map and the corresponding locus M in the moduli space of surfaces of general type. In particular we prove that M is an open subset, and it has three connected components, all of which are 2-dimensional, irreducible and generically smooth.
A note on a family of surfaces with $$p_g=q=2$$ and $$K^2=7$$
Penegini, Matteo;Pignatelli, Roberto
2022-01-01
Abstract
We study a family of surfaces of general type with pg= q= 2 and K2= 7 , originally constructed by C. Rito in [35]. We provide an alternative construction of these surfaces, that allows us to describe their Albanese map and the corresponding locus M in the moduli space of surfaces of general type. In particular we prove that M is an open subset, and it has three connected components, all of which are 2-dimensional, irreducible and generically smooth.File in questo prodotto:
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