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math.AG2026
Comb smoothing and local triviality of homogeneous spaces over a relative curve
Margot Bruneaux, Federico Scavia
Let be a Henselian local ring, let be the residue field of , let be a smooth projective curve over with geometrically connected fibers, let be a reductive $C…
math.AG2025
Homogeneous spaces over an abelian variety
Margot Bruneaux
In this paper, we study a question of Colliot-Thélène and Iyer concerning the existence of rational sections in families of homogeneous spaces over an abelian variety, after base c…