On the rationality of some moduli spaces related to pointed trigonal curves

G. Casnati

Abstract


For each $g\ge1$, let $\mathcal{T}_{g,n}\subseteq \mathcal{M}_{g,n}$ be the locus of points corresponding to curves carrying a base-point-free $g^1_3$. Here we give a proof that $\mathcal{T}_{g,n}$ is rational if $g\ge4$ and $1\le n\le 2g+7$.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15222

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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