Characteres and Galois invariants of regular dessins.

Título inglés	Characteres and Galois invariants of regular dessins.
Título español	Caracteres e invariantes de Galois de formas regulares.
Autor/es	Streit, Manfred ; Wolfart, Jürgen
Organización	Math. Semin. J. W. Goethe Univ., Frankfurt-am-Main, Alemania
Revista	1139-1138
Publicación	2000, 13 (1): 49-81, 21 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We describe a new invariant for the action of the absolute Galois groups on the set of Grothendieck dessins. It uses the fact that the automorphism groups of regular dessins are isomorphic to automorphism groups of the corresponding Riemman surfaces and define linear represenatations of the space of holomorphic differentials. The characters of these representations give more precise information about the action of the Galois group than all previously known invariants, as it is shown by a series of examples. These examples have their own interest because the Galois action on them is described only using properties of the fixed points in the canonical model, without the explicit knowledge of equations.
Clasificación UNESCO	120101
Palabras clave español	Grupo de Galois ; Espacio de Grothendieck ; Grupos de automorfismos ; Cohomología de grupos
Código MathReviews	MR1794903
Código Z-Math	Zbl 1053.14021
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