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A note on the variety of Secant Loci

2015/10/19 by Ali Bajravani, Bajravani, Ali
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #math.AG

paper · pdf · doi:10.48550/arxiv.1510.05413

arxiv created 2015/10/19 · openalex publication_date 2015/10/19 · arxiv updated 2015/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine non hyper elliptic curves of genus g(C)≥ 9, such that for some very ample line bundle on them and for some integers d and r with some prescribed assumptions, the dimension of secant loci, attains one less than its maximum value. Then we proceed to generalize and extend a problem of M. Coppens to Secant Loci.

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