Rational correspondences between moduli spaces of curves defined by\n Hurwitz spaces

2011/05/12 by Gerard van der Geer, van der Geer, Gerard, Alexis Kouvidakis +1
Mathematics · Medicine · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Intracerebral and Subarachnoid Hemorrhage Research

paper · pdf · doi:10.48550/arxiv.1105.2383

openalex publication_date 2011/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By associating to a curve C of genus g=2k and a pencil of degree d=k+1 the\nso-called trace curve (resp. the reduced trace curve) we define a rational map\nfrom the Hurwitz space of admissible covers of genus g=2k and degree d=k+1 to a\nmoduli space of stable curves. We study the induced map between the divisor\nclass groups of these moduli spaces of curves.\n

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