On the vector bundles from Chang and Ran's proof of the unirationality of $\mathcal{M}_g$, $g \leq 13$
| Autor: | Anghel, Cristian, Coanda, Iustin, Manolache, Nicolae |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We combine the idea of Chang and Ran [Invent. Math. 76 (1984), 41-54] of using monads of vector bundles on the projective 3-space to prove the unirationality of the moduli spaces of curves of low genus with our classification of globally generated vector bundles with small first Chern class $c_1$ on the projective 3-space to get an alternative argument for the unirationality of the moduli spaces of curves of degree at most 13 (based on the general framework of Chang and Ran). Comment: v4: the alternative constructions have been removed for brevity |
| Databáze: | arXiv |
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