Double Points of Plane Models in M_g,1

2011/02/20 by Nicola Tarasca, Tarasca, Nicola
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1102.4087

arxiv created 2011/02/20 · arxiv updated 2011/02/22

Abstract

The aim of this paper is to compute the class of the closure of the effective divisor in M_6,1 given by pointed curves [C,p] with a sextic plane model mapping p to a double point. Such a divisor generates an extremal ray in the pseudoeffective cone of M_6,1 as shown by Jensen. A general result on some families of linear series with adjusted Brill-Noether number 0 or -1 is introduced to complete the computation.

Related

• Extremal effective divisors of Brill-Noether and Gieseker-Petri type in \mathcal M_1,n
• Extremal divisors on moduli spaces of rational curves with marked points
• Effective divisors in the projectivized Hodge bundle
• Divisors of secant planes to curves
• Effective divisors on \ov\mcM_g associated to curves with exceptional secant planes