The inverse Galois problem for connected algebraic groups

Autor:	Brion, Michel, Schröer, Stefan
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry 14L15 14G17 14J50 (Primary) 14M20 17B50 13N15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We show that each connected group scheme of finite type over an arbitrary ground field is isomorphic to the component of the identity inside the automorphism group scheme of some projective, geometrically integral scheme. The main ingredients are embeddings into smooth group schemes, equivariant completions, blow-ups of orbit closures, Fitting ideals for K\"ahler differentials, and Blanchard's Lemma. Comment: Minor changes. Final version, to appear in Transformation Groups
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.08117 Zobrazit plný text záznamu View this record from Arxiv