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arXiv · 1802.04643

Surfaces of general type with $p_g=1$, $q=0$, $K^2=6$ and Grassmannians

Enrico Fatighenti
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Abstract

We construct examples of surfaces of general type with $p_g=1$, $q=0$ and $K^2=6$. We use as key varieties Fano fourfolds and Calabi-Yau threefolds that are zero section of some special homogeneous vector bundle on Grassmannians. We link as well our construction to a classical Campedelli surface, using the Pfaffian-Grassmannian correspondence.

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Enrico Fatighenti. 2018-02-13. Surfaces of general type with $p_g=1$, $q=0$, $K^2=6$ and Grassmannians. https://arxiv.org/abs/1802.04643

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