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arXiv · 1908.09578

Jacobian elliptic fibrations on the generalized Inose quartic of Picard rank sixteen

Adrian Clingher·Thomas Hill·Andreas Malmendier
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Abstract

We consider the family of complex algebraic K3 surfaces $\mathcal{X}$ with Picard lattice containing the unimodular lattice $H \oplus E_7(-1) \oplus E_7(-1)$. The surface $\mathcal{X}$ admits a birational model isomorphic to a quartic hypersurface that generalizes the Inose quartic. We prove that a general member of this family admits exactly four inequivalent Jacobian elliptic fibrations and construct explicit pencils for them.

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Adrian Clingher, Thomas Hill, Andreas Malmendier. 2022-11-15. Jacobian elliptic fibrations on the generalized Inose quartic of Picard rank sixteen. https://arxiv.org/abs/1908.09578

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