Equidimensional actions of algebraic tori
Nakajima, Haruhisa
Annales de l'Institut Fourier, Tome 45 (1995), p. 681-705 / Harvested from Numdam
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Soit X une variété affine conique factorielle sur un corps algébriquement clos de caractéristique zéro. Nous considérons les actions équidimensionnelles, algébriques, et stables d’un tore algébrique sur X qui sont compatibles avec la structure conique. Nous montrons que de telles actions sont colibres et que les nilcônes de X qui lui sont associés sont des intersections complètes.

Let X be an affine conical factorial variety over an algebraically closed field of characteristic zero. We consider equidimensional and stable algebraic actions of an algebraic torus on X compatible with the conical structure. We show that such actions are cofree and the nullcones of X associated with them are complete intersections.

@article{AIF_1995__45_3_681_0,
     author = {Nakajima, Haruhisa},
     title = {Equidimensional actions of algebraic tori},
     journal = {Annales de l'Institut Fourier},
     volume = {45},
     year = {1995},
     pages = {681-705},
     doi = {10.5802/aif.1470},
     mrnumber = {96e:14055},
     zbl = {0823.14035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1995__45_3_681_0}
}

Nakajima, Haruhisa. Equidimensional actions of algebraic tori. Annales de l'Institut Fourier, Tome 45 (1995) pp. 681-705. doi : 10.5802/aif.1470. http://gdmltest.u-ga.fr/item/AIF_1995__45_3_681_0/

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