Divisorial algebras and modules on schemes

Details Divisorial algebras and modules on schemes Divisorial algebras and modules on schemes

2011-05-02

arxiv.org/abs/1105.0441v2

Mathematics

Algebraic Geometry

19 pages. A typo in Theorem 1.2 is corrected that was caused by some last minute changes

Scientific paper

We study certain modules over the algebra of a Cartier divisor on a scheme.
Using these modules, we present an inductive method for studying finite
generation properties of algebras and modules. In the context of the minimal
model program, we show that finite generation of log canonical algebras and
modules is equivalent to the minimal model and abundance conjectures.

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