On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
Marco Andreatta, Jarosław A. Wiśniewski (2003)
Bollettino dell'Unione Matematica Italiana
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We consider a smooth projective variety on which a simple algebraic group acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of with the induced action of on the normal bundle of a closed orbit of the action. We get effective results in case and .