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- W3123213595 abstract "We construct two small resolutions of singularities of the Coble fourfold (the double cover of the four-dimensional projective space branched over the Igusa quartic). We use them to show that all $S_6$-invariant three-dimensional quartics are birational to conic bundles over the quintic del Pezzo surface with the discriminant curves from the Wiman-Edge pencil. As an application, we check that $S_6$-invariant three-dimensional quartics are unirational, obtain new proofs of rationality of four special quartics among them and irrationality of the others, and describe their Weil divisor class groups as $S_6$-representations." @default.
- W3123213595 created "2021-02-01" @default.
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- W3123213595 date "2020-03-15" @default.
- W3123213595 modified "2023-10-11" @default.
- W3123213595 title "Coble fourfold, 𝔖6-invariant quartic threefolds, and Wiman–Edge sextics" @default.
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- W3123213595 doi "https://doi.org/10.2140/ant.2020.14.213" @default.
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