arXiv:1604.07685 Abstract | arXiv Analytics

arXiv:1604.07685 [math.AG]Abstract References Reviews Resources

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

Published 2016-04-26Version 1

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.

Comments: 14 pages, 1 figure

Categories: math.AG

Subjects: 14J29, 14J10

Keywords: albanese map, computer algebra system magma, general type, computer-free construction, moduli space

Related articles: Most relevant | Search more

arXiv:2012.05636 [math.AG] (Published 2020-12-10, updated 2020-12-17)

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

Matteo Penegini, Roberto Pignatelli

arXiv:2212.14872 [math.AG] (Published 2022-12-30)

On the components of the Main Stream of the moduli space of surfaces of general type with $p_g=q=2$

Massimiliano Alessandro, Fabrizio Catanese

arXiv:1105.4983 [math.AG] (Published 2011-05-25, updated 2012-01-27)