On the base point free theorem for klt threefolds in large\n characteristic

2019/07/24 by Fabio Bernasconi, Bernasconi, Fabio · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Base (topology) #Combinatorics #Computer science #Dimension (graph theory) #Discrete mathematics #Divisor (algebraic geometry) #FOS: Mathematics #Field (mathematics) #Geometry #Integer (computer science) #Mathematical analysis #Mathematics #Point (geometry) #Pure mathematics

paper · pdf · doi:10.48550/arxiv.1907.10396

openalex publication_date 2019/07/24 · openalex created_date 2022/07/28 · openalex updated_date 2026/08/05

Abstract

In this article we present a refinement of the base point free theorem for\nthreefolds in positive characteristic. If L is a nef Cartier divisor of\nnumerical dimension at least one on a projective Kawamata log terminal\nthreefold (X,\Δ) over a perfect field k of characteristic p \≫ 0\nsuch that L-(K_X+\Δ) is big and nef, then we show that the linear system\n|mL| is base point free for all sufficiently large integer m>0.\n

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