Irrational nef rays at the boundary of the Mori cone for very general blowups of the plane

2022/01/21 by Ciro Ciliberto, Ciliberto, Ciro, Rick Miranda +3
Computer Science · Mathematics · #14C20 #14D06 #14H50 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Matrix Theory and Algorithms #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2201.08634

openalex publication_date 2022/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we develop a technique for discovering (non-effective) irrational rays at the boundary of the Mori cone for linear systems on a general blowup of the plane, and give examples of such irrational rays.

Related

• Non effective planar linear systems at the boundary of the Mori cone
• Variations on Nagata's Conjecture
• Examples of non--effective rays at the boundary of the Mori cone of\n blow--ups of the plane
• Quadric cones on the boundary of the Mori cone for very general blowups of the plane
• On the Mori cone of blow-ups of the plane