Self-intersection Number of Negative Curves on Fermat Surfaces

2024/12/31 by Wang, Zhenjian
#14C17 (Primary) 14H20 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.00319

Abstract

We give an explicit formula for the self-intersection number of negative curves on Fermat surfaces. The formula offers us hints to either prove or disprove the Bounded Negativity Conjecture for the Fermat surfaces.

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