The moduli space of genus 4 even spin curves is rational

2009/04/23 by Takagi, Hiromichi, Zucconi, Francesco
#14E30 (Primary) 14J45 #14H10 #14M20 (Secondary) #14N05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0904.3591

Abstract

By the technique of 3-fold Mori theory, we prove that the moduli space whose general point parameterizes a couple of a smooth curve of genus 4 and a halfcanonical divisor with vanishing global section is rational.

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