Algebraic Cones

نویسنده

  • VLADIMIR L. POPOV
چکیده

A characterization of algebraic cones in terms of actions of the onedimensional multiplicative algebraic monoid Mm and the algebraic group Gm are given. This note answers a question of K. Adjamagbo asked in [A]. Below all algebraic varieties are taken over an algebraically closed field k. An irreducible algebraic variety X is called a cone if X is affine and its coordinate algebra k[X ] admits a connected N-grading:

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تاریخ انتشار 2009