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arXiv · 1306.6798

The transcendental lattice of the sextic Fermat surface

Asher Auel·Christian Böhning·Hans-Christian Graf v. Bothmer
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Abstract

We prove that the integral polarized Hodge structure on the transcendental lattice of a sextic Fermat surface is decomposable. This disproves a conjecture of Kulikov related to a Hodge theoretic approach to proving the irrationality of the very general cubic fourfold.

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Asher Auel, Christian Böhning, Hans-Christian Graf v. Bothmer. 2013-06-28. The transcendental lattice of the sextic Fermat surface. https://doi.org/10.4310/mrl.2013.v20.n6.a2

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