On quasihomogeneous manifolds – via Brion-Luna-Vust theorem

Marco Andreatta; Jarosław A. Wiśniewski

Bollettino dell'Unione Matematica Italiana (2003)

  • Volume: 6-B, Issue: 3, page 531-544
  • ISSN: 0392-4041

Abstract

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We consider a smooth projective variety X on which a simple algebraic group G acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of G with the induced action of G on the normal bundle of a closed orbit of the action. We get effective results in case G = S ⁢ L ⁢ n and dim ⁡ X ≤ 2 ⁢ n - 2 .

How to cite

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Andreatta, Marco, and Wiśniewski, Jarosław A.. "On quasihomogeneous manifolds – via Brion-Luna-Vust theorem." Bollettino dell'Unione Matematica Italiana 6-B.3 (2003): 531-544. <http://eudml.org/doc/196189>.

@article{Andreatta2003,
abstract = {We consider a smooth projective variety $X$ on which a simple algebraic group $G$ acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of $G$ with the induced action of $G$ on the normal bundle of a closed orbit of the action. We get effective results in case $G=SL(n)$ and $\dim X \leq 2n-2$.},
author = {Andreatta, Marco, Wiśniewski, Jarosław A.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {531-544},
publisher = {Unione Matematica Italiana},
title = {On quasihomogeneous manifolds – via Brion-Luna-Vust theorem},
url = {http://eudml.org/doc/196189},
volume = {6-B},
year = {2003},
}

TY - JOUR
AU - Andreatta, Marco
AU - Wiśniewski, Jarosław A.
TI - On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/10//
PB - Unione Matematica Italiana
VL - 6-B
IS - 3
SP - 531
EP - 544
AB - We consider a smooth projective variety $X$ on which a simple algebraic group $G$ acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of $G$ with the induced action of $G$ on the normal bundle of a closed orbit of the action. We get effective results in case $G=SL(n)$ and $\dim X \leq 2n-2$.
LA - eng
UR - http://eudml.org/doc/196189
ER -

References

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