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• W3171931594 abstract "We construct an explicit smooth Fano complex threefold with Picard number 1, index 1, and degree 10 (also known as a Gushel–Mukai threefold) and prove that it is not rational by showing that its intermediate Jacobian has a faithful $${{,mathrm{PSL},}}(2,mathbf{F}_{11}) $$ -action. Along the way, we construct Gushel–Mukai varieties of various dimensions with rather large (finite) automorphism groups. The starting point of all these constructions is an Eisenbud–Popescu–Walter sextic with a faithful $${{,mathrm{PSL},}}(2,mathbf{F}_{11}) $$ -action discovered by the second author in 2013." @default.
• W3171931594 created "2021-06-22" @default.
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• W3171931594 date "2021-06-03" @default.
• W3171931594 modified "2023-10-18" @default.
• W3171931594 title "Gushel–Mukai varieties with many symmetries and an explicit irrational Gushel–Mukai threefold" @default.
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• W3171931594 doi "https://doi.org/10.1007/s40574-021-00293-6" @default.
• W3171931594 hasPublicationYear "2021" @default.
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