LEADER 03932nam  22007455  450 
001 9910254061303321
005 20220418223126.0
010   $a3-319-24711-5
024 7 $a10.1007/978-3-319-24711-3
035   $a(CKB)3710000000621600
035   $a(EBL)4456480
035   $a(SSID)ssj0001654022
035   $a(PQKBManifestationID)16433518
035   $a(PQKBTitleCode)TC0001654022
035   $a(PQKBWorkID)14982914
035   $a(PQKB)11622346
035   $a(DE-He213)978-3-319-24711-3
035   $a(MiAaPQ)EBC4456480
035   $a(PPN)192772333
035   $a(EXLCZ)993710000000621600
100   $a20160323d2016      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDessins d'enfants on Riemann surfaces /$fby Gareth A. Jones, Jürgen Wolfart
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (264 p.)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
300   $aDescription based upon print version of record.
311   $a3-319-24709-3 
320   $aIncludes bibliographical references and index.
327   $aHistorical and introductory background -- Graph embeddings -- Dessins and triangle groups -- Galois actions -- Quasiplatonic surfaces, and automorphisms -- Regular maps -- Regular embeddings of complete graphs -- Wilson operations -- Further examples -- Arithmetic aspects -- Beauville surfaces.
330   $aThis volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on dessins and their algebraic curves. It concludes by showing the links between the theory of dessins and other areas of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins d'Enfants on Riemann Surfaces will appeal to graduate students and all mathematicians interested in maps, hypermaps, Riemann surfaces, geometric group actions, and arithmetic.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aAlgebraic geometry
606   $aGroup theory
606   $aFunctions of complex variables
606   $aHyperbolic geometry
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
606   $aHyperbolic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21030
615  0$aAlgebraic geometry.
615  0$aGroup theory.
615  0$aFunctions of complex variables.
615  0$aHyperbolic geometry.
615 14$aAlgebraic Geometry.
615 24$aGroup Theory and Generalizations.
615 24$aFunctions of a Complex Variable.
615 24$aSeveral Complex Variables and Analytic Spaces.
615 24$aHyperbolic Geometry.
676   $a510
700   $aJones$b Gareth A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0116364
702   $aWolfart$b Jürgen$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254061303321
996   $aDessins d'Enfants on Riemann Surfaces$92155925
997   $aUNINA