Revêtements modérés et groupe fondamenttal de graphe de groupes

MOHAMED SAÏDI

doi:10.1023/A:1000146031462

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let $R$ be a discrete complete valuation ring, with algebraically closed residue field. Let $X$ be a semi-stable $R$-curve, with smooth generic fibre. In this paper we study tame coverings of $X$.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Saïdi, Mohamed 1998. p-Rank and semi-stable reduction of curves. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Vol. 326, Issue. 1, p. 63.

Harbater, David and Stevenson, Katherine F 1999. Patching and Thickening Problems. Journal of Algebra, Vol. 212, Issue. 1, p. 272.

Henrio, Yannick 1999. Automorphismes d'ordre p des couronnes p-adiques ouvertes. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Vol. 329, Issue. 1, p. 47.

Khadjavi, Lily S. 2002. An Effective Version of Belyi's Theorem. Journal of Number Theory, Vol. 96, Issue. 1, p. 22.

SCHRÖER, STEFAN 2003. THE STRONG FRANCHETTA CONJECTURE IN ARBITRARY CHARACTERISTICS. International Journal of Mathematics, Vol. 14, Issue. 04, p. 371.

Wewers, Stefan and Bouw, Irene 2005. Alternating groups as monodromy groups in positive characteristic. Pacific Journal of Mathematics, Vol. 222, Issue. 1, p. 185.

Bertin, José and Mézard, Ariane 2006. Déformations formelles de revêtements: un principe local-global. Israel Journal of Mathematics, Vol. 155, Issue. 1, p. 281.

Liţcanu, Răzvan 2007. Valuations, intersections et fonctions de Belyi-quelques remarques sur la construction des hauteurs. Expositiones Mathematicae, Vol. 25, Issue. 2, p. 95.

Glass, Darren and Kwon, Sonin 2009. Galois structure and de Rham invariants of elliptic curves. Journal of Number Theory, Vol. 129, Issue. 1, p. 1.

Pop, Florian 2011. Non-abelian Fundamental Groups and Iwasawa Theory. p. 1.

Obus, Andrew 2012. Fields of moduli of three-pointG-covers with cyclicp-Sylow, I. Algebra & Number Theory, Vol. 6, Issue. 5, p. 833.

Goldring, Wushi 2012. Number Theory, Analysis and Geometry. p. 181.

Amini, Omid Baker, Matthew Brugallé, Erwan and Rabinoff, Joseph 2015. Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta. Research in the Mathematical Sciences, Vol. 2, Issue. 1,

Anbar, Nurdagül and Tutdere, Seher 2020. Belyi’s Theorems in Positive Characteristic. International Journal of Number Theory, Vol. 16, Issue. 06, p. 1355.

Sugiyama, Yusuke and Yasuda, Seidai 2020. Belyi’s theorem in characteristic two. Compositio Mathematica, Vol. 156, Issue. 2, p. 325.

Kramer-Miller, Joe 2021. p-adic estimates of exponential sums on curves. Algebra & Number Theory, Vol. 15, Issue. 1, p. 141.

Wakabayashi, Yasuhiro 2022. An effective version of Belyĭ's theorem in positive characteristic. Journal of Number Theory, Vol. 231, Issue. , p. 251.

Kedlaya, Kiran S Litt, Daniel and Witaszek, Jakub 2023. Tamely Ramified Morphisms of Curves and Belyi’s Theorem in Positive Characteristic. International Mathematics Research Notices, Vol. 2023, Issue. 4, p. 2803.

Helminck, Paul Alexander 2023. Skeletal filtrations of the fundamental group of a non-archimedean curve. Advances in Mathematics, Vol. 431, Issue. , p. 109242.

LEN, YOAV ULIRSCH, MARTIN and ZAKHAROV, DMITRY 2024. Abelian tropical covers. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 176, Issue. 2, p. 395.

Article contents

Revêtements modérés et groupe fondamenttal de graphe de groupes

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Revêtements modérés et groupe fondamenttal de graphe de groupes

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests