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arXiv · 1709.03056

Algebraic Surfaces with $p_g=q=1, K^2=4$ and Genus 3 Albanese Fibration

Songbo Ling
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Abstract

In this paper, we study the Gieseker moduli space $\mathcal{M}_{1,1}^{4,3}$ of minimal surfaces with $p_g=q=1, K^2=4$ and genus 3 Albanese fibration. Under the assumption that direct image of the canonical sheaf under the Albanese map is decomposable, we find two irreducible components of $\mathcal{M}_{1,1}^{4,3}$, one of dimension 5 and the other of dimension 4.

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Songbo Ling. 2017-09-10. Algebraic Surfaces with $p_g=q=1, K^2=4$ and Genus 3 Albanese Fibration. https://doi.org/10.1007/s00229-018-1028-x

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