The MMP for deformations of Hilbert schemes of points on the projective plane

2013/12/06 by Chunyi Li, Xiaolei Zhao, Li, Chunyi +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1312.1748

openalex publication_date 2013/12/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the birational geometry of deformations of Hilbert schemes of points on the projective plane P2. We complete the picture in the paper of Daniele Arcara, Aaron Bertram, Izzet Coskun and Jack Huizenga by giving an explicit correspondence between the stable base locus walls on the Neron-Severi space and the actual walls on the Bridgeland stability space. We show that the birational geometry of a deformed Hilb P2 is different from that of Hilb P2.

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• A proof of the Briançon-Iarrobino Conjecture in three dimensions

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