Tohoku Mathematical Journal
2007

March
SECOND SERIES VOL. 59, NO. 1

Tohoku Math. J.
59 (2007), 39-55

Title ASYMPTOTICALLY SATURATED TORIC ALGEBRAS

Author Florin Ambro

(Received July 21, 2005, revised April 13, 2006)
Abstract. We establish finite generation of certain invariant graded algebras defined on toric log Fano fibrations. These are the toric version of FGA algebras, introduced by Shokurov in connection with the existence of flips.

2000 Mathematics Subject Classification. Primary 14E30; Secondary 14M25.

Key words and phrases. Toric varieties, graded algebras, asymptotic saturation.

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