On models of algebraic group actions

DOI10.1007/S12044-022-00706-2arXiv2202.04352MaRDI QIDQ6390581

Publication date: 9 February 2022

Abstract: We show that every action of a smooth algebraic group on a variety admits a normal projective model. Along the way, we present new proofs of some basic results on algebraic transformation groups, including Weil's regularization theorem.

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Group schemes (14L15)

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