Non-rationality of the S_6-symmetric quartic threefolds
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Publication:3452096
zbMath1327.14220arXiv1212.5345MaRDI QIDQ3452096
Publication date: 18 November 2015
Full work available at URL: https://arxiv.org/abs/1212.5345
Rational and unirational varieties (14M20) Picard schemes, higher Jacobians (14K30) Rationality questions in algebraic geometry (14E08)
Related Items (10)
The Lüroth Problem ⋮ A simple proof of the non-rationality of a general quartic double solid ⋮ Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold ⋮ Rationality of an \(S_6\)-invariant quartic 3-fold ⋮ On the \(\mathrm{PSL}_2(\mathbb{F}_{19})\)-invariant cubic sevenfold ⋮ Embeddings of the symmetric groups to the space Cremona group ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ Some surfaces with maximal Picard number ⋮ Double quadrics with large automorphism groups ⋮ Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics
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