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arXiv · 2506.22030

G\"opel Varieties

Vladimiro Benedetti·Michele Bolognesi·Daniele Faenzi·Laurent Manivel
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Abstract

We show that the Coble hypersurfaces, uniquely characterized by the remarkable property that their singular loci are an abelian surface and a Kummer threefold, respectively, belong to a family of hypersurfaces exhibiting similar behavior, but defined in various types of homogeneous spaces. With the help of Jordan-Vinberg theory, we show how these hypersurfaces can be parametrized by G{\"o}pel type varieties inside projectivized representations of complex reflection groups.

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Vladimiro Benedetti, Michele Bolognesi, Daniele Faenzi, Laurent Manivel. 2025-06-27. G\"opel Varieties. https://arxiv.org/abs/2506.22030

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