New surfaces with $K^2=7$ and $p_g=q\leq 2$

Carlos Rito

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arXiv · 1506.09117

New surfaces with $K^2=7$ and $p_g=q\leq 2$

Carlos Rito

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Abstract

We construct smooth minimal complex surfaces of general type with $K^2=7$ and: $p_g=q=2,$ Albanese map of degree $2$ onto a $(1,2)$-polarized abelian surface; $p_g=q=1$ as a double cover of a quartic Kummer surface; $p_g=q=0$ as a double cover of a numerical Campedelli surface with $5$ nodes.

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BibTeX RIS

Carlos Rito. 2015-06-30. New surfaces with $K^2=7$ and $p_g=q\leq 2$. https://arxiv.org/abs/1506.09117

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