Champs de Hurwitz

  • Bertin J
  • Romagny M
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Abstract

We give a thorough study of Hurwitz stacks both in Galois and non galois case. The construction is applied to revisit somme classical examples, the stack of stable curves equipped with a level structure, and the stacks of tamely ramified cyclic covers. We exhibit some tautological cohomology classes, and give some universal relations between them. Applications are given to Cornalba-Harris type relations, and to some Hurwitz-Hodge integrals.

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APA

Bertin, J., & Romagny, M. (2011). Champs de Hurwitz. MéMoires de La SociéTé MathéMatique de France, 1, 1–219. https://doi.org/10.24033/msmf.437

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