The Minkowski Equality of Big Divisors

2021/07/11 by Steven Dale Cutkosky, Cutkosky, Steven Dale
Computer Science · Mathematics · #14C17 #14C20 #14C40 #14G17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #History and Theory of Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2107.05091

openalex publication_date 2021/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give conditions characterizing equality in the Minkowski inequality for big divisors on a projective variety. Our results draw on the extensive history of research on Minkowski inequalities in algebraic geometry.

Related

• Effective and Big Divisors on a Projective Symmetric Variety
• The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
• On essentially large divisors
• Noether-type inequalities for big divisors via control of the negative part
• The prime divisors in every class contain arbitrary large truncated classes