Pencils on real curves

2011/07/25 by Marc Coppens, Coppens, Marc, Johannes Huisman +1 · 1 citation
Computer Science · Engineering · Mathematics · #14H51 #14P99 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14H51 #msc:14P99

paper · pdf · doi:10.48550/arxiv.1107.4998

27 pages, 12 figures

arxiv created 2011/07/25 · openalex publication_date 2011/07/25 · arxiv updated 2011/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider coverings of real algebraic curves to real rational algebraic curves. We show the existence of such coverings having prescribed topological degree on the real locus. From those existence results we prove some results on Brill-Noether Theory for pencils on real curves. For coverings having topological degree 0 we introduce the covering number k and we prove the existence of coverings of degree 4 with prescribed covering number.

Cited by

• The separating gonality of a separating real curve

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