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- Dessin_d'enfant abstract "In mathematics, a dessin d'enfant (French for a "child's drawing", plural dessins d'enfant, "child's drawings", or dessins d'enfants, "children's drawings") is a type of graph drawing used to study Riemann surfaces and to provide combinatorial invariants for the action of the absolute Galois group of the rational numbers.Intuitively, a dessin d'enfant is simply a graph, with its vertices colored alternating black and white, embedded in an oriented surface that, in many cases, is simply a plane. For the coloring to exist, the graph must be bipartite. The faces of the embedding must be topological disks. The surface and the embedding may be described combinatorially using a rotation system, a cyclic order of the edges surrounding each vertex of the graph that describes the order in which the edges would be crossed by a path that travels clockwise on the surface in a small loop around the vertex.Any dessin can provide the surface it is embedded in with a structure as a Riemann surface. It is natural to ask which Riemann surfaces arise in this way. The answer is provided by Belyi's theorem, which states that the Riemann surfaces that can be described by dessins are precisely those that can be defined over the field of algebraic numbers (when considered as algebraic curves). The absolute Galois group transforms these particular curves into each other, and thereby also transforms the underlying dessins.For a more detailed treatment of this subject, see Schneps (1994) or Lando & Zvonkin (2004).".
- Dessin_d'enfant wikiPageExternalLink oetoc?doi=OE_KLEIN__3.
- Dessin_d'enfant wikiPageExternalLink oetoc?id=OE_KLEIN__3.
- Dessin_d'enfant wikiPageExternalLink s35jones.html.
- Dessin_d'enfant wikiPageExternalLink what-is.pdf.
- Dessin_d'enfant wikiPageExternalLink 9.html.
- Dessin_d'enfant wikiPageExternalLink b44h2sin.pdf.
- Dessin_d'enfant wikiPageExternalLink s35jones.pdf.
- Dessin_d'enfant wikiPageExternalLink bag44.htm.
- Dessin_d'enfant wikiPageExternalLink bag442.
- Dessin_d'enfant wikiPageExternalLink bagcon.htm.
- Dessin_d'enfant wikiPageExternalLink EsquisseEng.pdf.
- Dessin_d'enfant wikiPageExternalLink EsquisseFr.pdf.
- Dessin_d'enfant wikiPageExternalLink kleins-dessins-denfant-and-the-buckyball.
- Dessin_d'enfant wikiPageID "1585922".
- Dessin_d'enfant wikiPageRevisionID "598839188".
- Dessin_d'enfant hasPhotoCollection Dessin_d'enfant.
- Dessin_d'enfant subject Category:Algebraic_geometry.
- Dessin_d'enfant subject Category:Complex_analysis.
- Dessin_d'enfant subject Category:Topological_graph_theory.
- Dessin_d'enfant comment "In mathematics, a dessin d'enfant (French for a "child's drawing", plural dessins d'enfant, "child's drawings", or dessins d'enfants, "children's drawings") is a type of graph drawing used to study Riemann surfaces and to provide combinatorial invariants for the action of the absolute Galois group of the rational numbers.Intuitively, a dessin d'enfant is simply a graph, with its vertices colored alternating black and white, embedded in an oriented surface that, in many cases, is simply a plane.".
- Dessin_d'enfant label "Dessin d'enfant (graphe)".
- Dessin_d'enfant label "Dessin d'enfant".
- Dessin_d'enfant sameAs Dessin_d'enfant_(graphe).
- Dessin_d'enfant sameAs m.05dhhh.
- Dessin_d'enfant sameAs Q3024615.
- Dessin_d'enfant sameAs Q3024615.
- Dessin_d'enfant wasDerivedFrom Dessin_d'enfant?oldid=598839188.
- Dessin_d'enfant isPrimaryTopicOf Dessin_d'enfant.