Generalised pairs in birational geometry

2020/08/03 by Birkar, Caucher · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.01008

Abstract

In this note we introduce generalised pairs from the perspective of the evolution of the notion of space in birational algebraic geometry. We describe some applications of generalised pairs in recent years and then mention a few open problems.

Cited by

• Characterization of products of projective spaces via nef complexity
• A valuative approach to the anticanonical minimal model program

Related

• Lectures on birational geometry
• Exercises in the birational geometry of algebraic varieties
• Geometric Invariant Theory and Birational Geometry
• The Lefschetz principle in birational geometry: birational twin varieties
• Frobenius techniques in birational geometry