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.
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Nagoya Univ, Grad Sch Math, Furo Cho,Chikusa Ku, Nagoya 4648602, JapanNagoya Univ, Grad Sch Math, Furo Cho,Chikusa Ku, Nagoya 4648602, Japan
Ishii, Akira
Nolla, Alvaro
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Univ Autonoma Madrid UAM, Fac Teacher Training & Educ, Tomas & Valiente 3, Madrid 28049, SpainNagoya Univ, Grad Sch Math, Furo Cho,Chikusa Ku, Nagoya 4648602, Japan
Nolla, Alvaro
Ueda, Kazushi
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Univ Tokyo, Grad Sch Math Sci, 3-8-1,Meguro Ku, Tokyo 1538914, JapanNagoya Univ, Grad Sch Math, Furo Cho,Chikusa Ku, Nagoya 4648602, Japan