On Shokurov-type b-divisorial algebras of higher rank

Details On Shokurov-type b-divisorial algebras of higher rank On Shokurov-type b-divisorial algebras of higher rank

2007-07-30

arxiv.org/abs/0707.4414v2

Mathematics

Algebraic Geometry

some notation changed, Theorem 3.1 slightly generalised, new references added

Scientific paper

The purpose of this paper is to lay the foundations for the theory of higher
rank b-divisorial algebras of Shokurov type. We develop techniques to deal with
such objects and propose two natural conjectures regarding Shokurov algebras
and adjoint algebras. We confirm these conjectures in the case of affine
curves.

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