This study demonstrates new maximal connected algebraic subgroups in Cr_n(C), highlighting Umemura quadric fibrations.
We study the equivariant geometry of special quadric fibrations, called Umemura quadric fibrations, as well as the maximality of their automorphism groups inside Crₙ(C) . We produce infinite families of pairwise non-conjugate maximal connected algebraic subgroups of Crₙ(C) .
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Floris et al. (2025) studied this question.
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