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- W2886374107 abstract "We study groups of automorphisms and birational transformations of quasi-projective varieties. Two methods are combined; the first one is based on $p$-adic analysis, the second makes use of isoperimetric inequalities and Lang–Weil estimates. For instance, we show that, if $mathsf{SL}_n(mathbf{Z})$ acts faithfully on a complex quasi-projective variety $X$ by birational transformations, then $mathrm{dim}(X) geqslant n-1$ and $X$ is rational if $mathrm{dim}(X) = n-1$." @default.
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- W2886374107 date "2018-01-01" @default.
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- W2886374107 title "Algebraic actions of discrete groups: the $p$-adic method" @default.
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- W2886374107 doi "https://doi.org/10.4310/acta.2018.v220.n2.a2" @default.
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