Let $\cM_{7,n}$ be the (coarse) moduli space of smooth curves of genus $7$ with $n\ge0$ marked points defined over the complex field $\bC$. We denote by $\cM^1_{7,n;4}$ the locus of points inside $\cM_{7,n}$ representing curves carrying a $g^1_4$. It is classically known that $\cM^1_{7,n;4}$ is irreducible of dimension $17+n$. We prove in this paper that $\cM^1_{7,n;4}$ is rational for $0\le n\le 11$. Oxford

Birational properties of some moduli spaces related to tetragonal curves of genus 7 / Böhing, C. h.; Graf von Bothmer, H. C. h. r.; Casnati, Gianfranco. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - STAMPA. - 2012:22(2012), pp. 5219-5245. [10.1093/imrn/rnr230]

Birational properties of some moduli spaces related to tetragonal curves of genus 7

CASNATI, GIANFRANCO
2012

Abstract

Let $\cM_{7,n}$ be the (coarse) moduli space of smooth curves of genus $7$ with $n\ge0$ marked points defined over the complex field $\bC$. We denote by $\cM^1_{7,n;4}$ the locus of points inside $\cM_{7,n}$ representing curves carrying a $g^1_4$. It is classically known that $\cM^1_{7,n;4}$ is irreducible of dimension $17+n$. We prove in this paper that $\cM^1_{7,n;4}$ is rational for $0\le n\le 11$. Oxford
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2428187
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