The unirationality of the Hurwitz schemes and

  • Hanieh Keneshlou

    Universität des Saarlandes, Saarbrücken, Germany
  • Fabio Tanturri

    Université de Lille, Villeneuve-d'Ascq, France
The unirationality of the Hurwitz schemes $\mathcal H_{10, 8}$ and $\mathcal H_{13, 7}$ cover

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Abstract

We show that the Hurwitz scheme parametrizing -sheeted simply branched covers of the projective line by smooth curves of genus , up to isomorphism, is unirational for and . The unirationality is settled by using liaison constructions in and respectively, and through the explicit computation of single examples over a finite field.

Cite this article

Hanieh Keneshlou, Fabio Tanturri, The unirationality of the Hurwitz schemes and . Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 1, pp. 31–39

DOI 10.4171/RLM/834