The nef cone of the Hilbert scheme of points on rational elliptic\n surfaces and the cone conjecture

2019/05/11 by John M. Kopper, Kopper, John · 1 citation
Mathematics · #14C05 (Primary) 14E30 #14J27 #14J50 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1905.04570

openalex publication_date 2019/05/11 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We compute the nef cone of the Hilbert scheme of points on a general rational\nelliptic surface. As a consequence of our computation, we show that the\nMorrison-Kawamata cone conjecture holds for these nef cones.\n

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