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arXiv · 1604.07685

A family of surfaces with $p_g=q=2, \, K^2=7$ and Albanese map of degree $3$

Roberto Pignatelli·Francesco Polizzi
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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 Cancian and Frapporti by using the Computer Algebra System MAGMA. We provide an alternative, computer-free construction of these surfaces, that allows us to describe their Albanese map and their moduli space.

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Roberto Pignatelli, Francesco Polizzi. 2016-10-11. A family of surfaces with $p_g=q=2, \, K^2=7$ and Albanese map of degree $3$. https://doi.org/10.1002/mana.201600202

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