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- W4301871354 abstract "We find generators of the group of birational automorphisms of the Hessian surface of a general cubic surface. Its nonsingular minimal model is a K3 surface with the Picard lattice of rank 16. The latter embeds naturally in the even unimodular lattice $II^{1,25}$ of rank 26 and signature $(1,25)$ as the orthogonal complement of a root sublattice of rank 10. Our generators are related to reflections with respect to some Leech roots. A similar observation was made first in the case of quartic Kummer surfaces in the work of S. Kond$bar {roman o}$. We shall explain how our generators are related to the generators of the group of birational automorphisms of a general quartic Kummer surface which is birationally isomorphic to a special Hessian surface." @default.
- W4301871354 created "2022-10-05" @default.
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- W4301871354 date "2001-03-27" @default.
- W4301871354 modified "2023-10-17" @default.
- W4301871354 title "Birational automorphisms of quartic Hessian surfaces" @default.
- W4301871354 doi "https://doi.org/10.48550/arxiv.math/0103186" @default.
- W4301871354 hasPublicationYear "2001" @default.
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