The moduli space of genus 4 even spin curves is rational

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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.
This is our third paper. This paper is new and the results were obtained as applications of the first and second papers

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Algebraic Geometry, 14H10, 14E30 (Primary) 14J45, 14N05, 14M20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/228229

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3591
 http://arxiv.org/abs/0904.3591

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arXiv