Classifies P¹-bundles over non-rational geometrically ruled surfaces with relatively maximal connected automorphism groups relative to Bir(X/S).
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Classifies maximal algebraic subgroups of Bir(C × ℙ¹) for C a smooth projective curve of positive genus.
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Automorphism groups of $\mathbb{P}^1$-bundles over geometrically ruled surfaces
Classifies P¹-bundles over non-rational geometrically ruled surfaces with relatively maximal connected automorphism groups relative to Bir(X/S).
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Algebraic subgroups of the group of birational transformations of ruled surfaces
Classifies maximal algebraic subgroups of Bir(C × ℙ¹) for C a smooth projective curve of positive genus.