EXISTENCE OF COVERS WITH FIXED RAMIFICATION IN POSITIVE CHARACTERISTIC

DOI10.1142/S1793042113500383zbMath1318.11084arXiv1206.1262OpenAlexW3103519142MaRDI QIDQ2850703

Leonardo Zapponi, Irene I. Bouw

Publication date: 30 September 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1262

zbMATH Keywords

positive characteristicBelyi mapsHurwitz spaces

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Positive characteristic ground fields in algebraic geometry (14G17) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32)

Cites Work

• Reduction of the Hurwitz space of metacyclic covers
• Some $4$-point Hurwitz numbers in positive characteristic
• The irreducibility of certain pure-cycle Hurwitz spaces
• Three point covers with bad reduction
• Reduction of covers and Hurwitz spaces
• Linear series and the existence of branched covers
• Rational functions with given ramification in characteristic p

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