Weak Bounded Negativity Conjecture

2017/08/30 by Hao Feng, Hao, Feng
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1708.09463

openalex publication_date 2017/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the following "Weak Bounded Negativity Conjecture", which says that given a complex smooth projective surface X, for any reduced curve C in X and integer g, assume that the geometric genus of each component of C is bounded from above by g, then the self-intersection number C² is bounded from below.

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