On Shokurov-type b-divisorial algebras of higher rank

2007/07/30 by Vladimir Lazić, Lazic, Vladimir · 1 citation
Mathematics · #14E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0707.4414

openalex publication_date 2007/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring

Cited by

• Towards finite generation of the canonical ring without the MMP

Related

• Divisor varieties of symmetric products
• Divisors on the moduli space of curves from divisorial conditions on\n hypersurfaces
• A Theory of Divisors for Algebraic Curves
• A KLR Grading of the Brauer Algebras
• On the Abel-Jacobi Map for Divisors of Higher Rank on a Curve