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. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - ELETTRONICO. - 2022/15:3(2022), pp. 305-331. [10.1007/s40574-021-00305-5]
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 | Dimensione | Formato | |
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