Non-existence of phantoms on some non-generic blowups of the projective plane

2024/05/02 by Lev Borisov, Borisov, Lev, Kimoi Kemboi +1 · 2 citations
Engineering · Materials Science · Medicine · #14F08 #Algebraic Geometry (math.AG) #FOS: Mathematics #Graphite, nuclear technology, radiation studies #Heat Transfer and Mathematical Modeling #Radiation Dose and Imaging

paper · pdf · doi:10.48550/arxiv.2405.01683

openalex publication_date 2024/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that blowups of the projective plane at points lying on a smooth cubic curve do not contain phantoms, provided the points are chosen in very general position on this curve.

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