Data di Pubblicazione:
2014
Citazione:
A new family of surfaces with pg=q=2 and K2=6 whose Albanese map has degree 4 / M. Penegini, F. Polizzi. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - 90:3(2014), pp. 741-762. [10.1112/jlms/jdu048]
Abstract:
We construct a new family of minimal surfaces of general type with pg = q = 2 and K2 = 6,
whose Albanese map is a quadruple cover of an abelian surface with polarization of type
(1, 3). We also show that this family provides an irreducible component of the moduli space
of surfaces with pg = q = 2 and K2 = 6. Finally, we prove that such a component is generically
smooth of dimension 4 and that it contains the two-dimensional family of product–quotient
examples previously constructed by the first author. The main tools we use are the Fourier–Mukai
transform and the Schr¨odinger representation of the finite Heisenberg group H3.
whose Albanese map is a quadruple cover of an abelian surface with polarization of type
(1, 3). We also show that this family provides an irreducible component of the moduli space
of surfaces with pg = q = 2 and K2 = 6. Finally, we prove that such a component is generically
smooth of dimension 4 and that it contains the two-dimensional family of product–quotient
examples previously constructed by the first author. The main tools we use are the Fourier–Mukai
transform and the Schr¨odinger representation of the finite Heisenberg group H3.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
M. Penegini, F. Polizzi
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