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Equidimensional actions of algebraic tori

Haruhisa Nakajima — 1995

Annales de l'institut Fourier

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.

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