Equidimensional actions of algebraic tori

Haruhisa Nakajima

Annales de l'institut Fourier (1995)

  • Volume: 45, Issue: 3, page 681-705
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Nakajima, Haruhisa. "Equidimensional actions of algebraic tori." Annales de l'institut Fourier 45.3 (1995): 681-705. <http://eudml.org/doc/75134>.

@article{Nakajima1995,
abstract = {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.},
author = {Nakajima, Haruhisa},
journal = {Annales de l'institut Fourier},
keywords = {factorial variety; algebraic actions of an algebraic torus; complete intersections; conical variety},
language = {eng},
number = {3},
pages = {681-705},
publisher = {Association des Annales de l'Institut Fourier},
title = {Equidimensional actions of algebraic tori},
url = {http://eudml.org/doc/75134},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Nakajima, Haruhisa
TI - Equidimensional actions of algebraic tori
JO - Annales de l'institut Fourier
PY - 1995
PB - Association des Annales de l'Institut Fourier
VL - 45
IS - 3
SP - 681
EP - 705
AB - 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.
LA - eng
KW - factorial variety; algebraic actions of an algebraic torus; complete intersections; conical variety
UR - http://eudml.org/doc/75134
ER -

References

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