The ring of global sections of multiples of a line bundle on a toric variety

Mathematics – Algebraic Geometry

Scientific paper

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To appear in Proceedings of the AMS, one figure, 5 pages, Author-supplied DVI file available at: http://calli.matem.unam.mx/

Scientific paper

In this article we prove, in a simple way, that for any complete toric
variety, and for any Cartier divisor, the ring of global sections of multiples
of the line bundle associated to the divisor is finitely generated.

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