The Minkowski Equality of Big Divisors
Steven Dale Cutkosky
TL;DR
This paper characterizes when equality holds in the Minkowski inequality for big divisors on projective varieties, expanding understanding of geometric inequalities in algebraic geometry.
Contribution
It provides new conditions for equality in Minkowski inequalities specifically for big divisors, building on the historical context of algebraic geometry research.
Findings
Derived conditions for equality in Minkowski inequality
Extended classical inequalities to big divisors on projective varieties
Connected geometric inequalities with algebraic geometry theory
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · History and Theory of Mathematics