On Effective Non-vanishing of Weil Divisors on Algebraic Surfaces

2004/04/15 by Qihong Xie, Xie, Qihong · 2 citations
Mathematics · #14E30 #14J25 #14J45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #advanced mathematical theories #math.AG #msc:14E30 #msc:14J25 #msc:14J45

paper · pdf · doi:10.48550/arxiv.math/0404276

7 pages

openalex publication_date 2004/04/15 · arxiv created 2004/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a counterexample and some conclusions for effective non-vanishing of Weil divisors on algebraic surfaces.

Cited by

• Fixed divisors on hyperkähler manifolds
• A Nonvanishing Theorem for Q-divisors

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• Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic
• A Note on the Effective Non-vanishing Conjecture
• A generalized non-vanishing theorem on surfaces
• Ample Weil divisors
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