Note on a family of surfaces with $p_g=q=2$ and $K^2=7$

Matteo Penegini; Roberto Pignatelli

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arXiv · 2012.05636

Note on a family of surfaces with $p_g=q=2$ and $K^2=7$

Matteo Penegini·Roberto Pignatelli

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Abstract

We study a family of surfaces of general type with $p_g=q=2$ and $K^2=7$, originally constructed by C. Rito. We provide an alternative construction of these surfaces, that allows us to describe their Albanese map and the corresponding locus $\mathcal{M}$ in the moduli space of the surfaces of general type. In particular we prove that $\mathcal{M}$ is an open subset, and it has three connected components, two dimensional, irreducible and generically smooth.

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BibTeX RIS

Matteo Penegini, Roberto Pignatelli. 2020-12-10. Note on a family of surfaces with $p_g=q=2$ and $K^2=7$. https://arxiv.org/abs/2012.05636

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