Andreatta, Wiśniewski: On quasihomogeneous manifolds

Andreatta, Marco and Wiśniewski, Jarosław A.:
On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
Bollettino dell'Unione Matematica Italiana Serie 8 6-B (2003), fasc. n.3, p. 531-544, Unione Matematica Italiana (English)
pdf (272 Kb), djvu (208 Kb). | MR2014816 | Zbl 1178.14047

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In questo lavoro si studiano varietà proiettive liscie sulle quali agisce un gruppo algebrico semplice $G$ con una orbita aperta. In particolare si utilizza un teorema di Brion-Luna-Vust per correlare l'azione di $G$ su $X$ con l'azione indotta di $G$ sul fibrato normale di una orbita chiusa. Come applicazione si ottiene una classificazione nel caso $G=SL(n)$ e $\dim X \leq 2n-2$.

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Referenza completa

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Referenze Bibliografiche