000			02993nam a22003618i 4500
001			CR9780511569302
003			UkCbUP
005			20200124160230.0
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007			cr||||||||||||
008			090520s1994||||enk o ||1 0|eng|d
020			_a9780511569302 (ebook)
020			_z9780521478212 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
041	0		_aeng _bfre
050	0	0	_aQA613.2 _b.G76 1994
082	0	0	_a516.35 _220
245	0	4	_aThe Grothendieck theory of dessins d'enfants / _cedited by Leila Schneps.
264		1	_aCambridge : _bCambridge University Press, _c1994.
300			_a1 online resource (368 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v200
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aNoncongruence Subgroups, Covers and Drawings / B. Birch -- Dessins d'enfants on the Riemann sphere / L. Schneps -- Dessins from a geometric point of view / J.-M. Couveignes and L. Granboulan -- Maps, Hypermaps and Triangle Groups / G. Jones and D. Singerman -- Fields of definition of some three point ramified field extensions / G. Malle -- On the classification of plane trees by their Galois orbit / G. Shabat -- Triangulations / M. Bauer and C. Itzykson -- Dessins d'enfant and Shimura varieties / P. Cohen -- Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations / Y. Ihara -- Algebraic representation of the Teichmuller spaces / K. Saito -- On the embedding of Gal[actual symbol not reproducible] into [actual symbol not reproducible] / Y. Ihara -- Appendix: The action of the absolute Galois group on the moduli spaces of spheres with four marked points / M. Emsalem and P. Lochak.
520			_aDessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.
650		0	_aDessins d'enfants (Mathematics)
700	1		_aSchneps, Leila, _eeditor.
776	0	8	_iPrint version: _z9780521478212
830		0	_aLondon Mathematical Society lecture note series ; _v200.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511569302
999			_c517570 _d517568