On the stability of tangent bundles on cyclic coverings

2019/12/12 by Yongming Zhang, Zhang, Yongming
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.1912.05851

8 pages

arxiv created 2019/12/12 · openalex publication_date 2019/12/12 · arxiv updated 2019/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Y be a smooth projective surface defined over an algebraically closed field k with \rm Char k\nmid n, and let π:X→ Y be a n-cyclic covering branched along a smooth divisor B. We show that under some conditions \mathscrT_X is semi-stable with respect to π^*\mathcal H if the tangent bundle \mathscrT_Y is semi-stable with respect to some ample line bundle \mathcal H on Y.

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