000754366 000__ 02707cam\a2200469Ii\4500 000754366 001__ 754366 000754366 005__ 20230306141704.0 000754366 006__ m\\\\\o\\d\\\\\\\\ 000754366 007__ cr\cn\nnnunnun 000754366 008__ 160325t20162016sz\\\\\\ob\\\\001\0\eng\d 000754366 020__ $$a9783319247113$$q(electronic book) 000754366 020__ $$a3319247115$$q(electronic book) 000754366 020__ $$z9783319247090 000754366 0247_ $$a10.1007/978-3-319-24711-3$$2doi 000754366 035__ $$aSP(OCoLC)ocn945576996 000754366 035__ $$aSP(OCoLC)945576996 000754366 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dN$T$$dYDXCP$$dGW5XE$$dIDEBK$$dEBLCP$$dAZU$$dOCLCF$$dCDX$$dCOO 000754366 049__ $$aISEA 000754366 050_4 $$aQA613.2 000754366 08204 $$a514/.3$$223 000754366 1001_ $$aJones, Gareth A.,$$d1946-$$eauthor. 000754366 24510 $$aDessins d'enfants on Riemann surfaces$$h[electronic resource] /$$cGareth A. Jones, Jürgen Wolfart. 000754366 264_1 $$aCham :$$bSpringer,$$c[2016] 000754366 264_4 $$c©2016 000754366 300__ $$a1 online resource. 000754366 336__ $$atext$$btxt$$2rdacontent 000754366 337__ $$acomputer$$bc$$2rdamedia 000754366 338__ $$aonline resource$$bcr$$2rdacarrier 000754366 4901_ $$aSpringer monographs in mathematics 000754366 504__ $$aIncludes bibliographical references and index. 000754366 5050_ $$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. 000754366 506__ $$aAccess limited to authorized users. 000754366 520__ $$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. 000754366 650_0 $$aDessins d'enfants (Mathematics) 000754366 650_0 $$aRiemann surfaces. 000754366 7001_ $$aWolfart, Jürgen,$$eauthor. 000754366 77608 $$iPrint version:$$z9783319247090 000754366 830_0 $$aSpringer monographs in mathematics. 000754366 852__ $$bebk 000754366 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-24711-3$$zOnline Access$$91397441.1 000754366 909CO $$ooai:library.usi.edu:754366$$pGLOBAL_SET 000754366 980__ $$aEBOOK 000754366 980__ $$aBIB 000754366 982__ $$aEbook 000754366 983__ $$aOnline 000754366 994__ $$a92$$bISE