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Maximal subgroups in the Cremona group (2311.04703v2)
Published 8 Nov 2023 in math.AG
Abstract: We show that for any $n\geq5$ there exist connected algebraic subgroups in the Cremona group $\mathrm{Bir}(\mathbb{P}n)$ that are not contained in any maximal connected algebraic subgroup. Our approach exploits the existence of stably rational, non-rational threefolds.
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