The moduli space of genus four even spin curves is rational |
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Authors: | Hiromichi Takagi Francesco Zucconi |
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Institution: | 1. Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, 153-8914, Japan;2. Dipartimento di Matematica e Informatica, Università degli Studî Udine, Via delle Scienze, 206, 33100 Udine, Italy |
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Abstract: | Using the Mori theory for threefolds, we prove that the moduli space of pairs of smooth curves of genus four and theta characteristics without global sections is a rational variety. |
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