# Characteres and Galois invariants of regular dessins.

Manfred Streit; Jürgen Wolfart

Revista Matemática Complutense (2000)

- Volume: 13, Issue: 1, page 49-81
- ISSN: 1139-1138

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topStreit, Manfred, and Wolfart, Jürgen. "Characteres and Galois invariants of regular dessins.." Revista Matemática Complutense 13.1 (2000): 49-81. <http://eudml.org/doc/44370>.

@article{Streit2000,

abstract = {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.},

author = {Streit, Manfred, Wolfart, Jürgen},

journal = {Revista Matemática Complutense},

keywords = {Grupo de Galois; Espacio de Grothendieck; Grupos de automorfismos; Cohomología de grupos; Grothendieck dessins; Riemann surfaces; linear representations on the space of holomorphic differentials; Galois group},

language = {eng},

number = {1},

pages = {49-81},

title = {Characteres and Galois invariants of regular dessins.},

url = {http://eudml.org/doc/44370},

volume = {13},

year = {2000},

}

TY - JOUR

AU - Streit, Manfred

AU - Wolfart, Jürgen

TI - Characteres and Galois invariants of regular dessins.

JO - Revista Matemática Complutense

PY - 2000

VL - 13

IS - 1

SP - 49

EP - 81

AB - 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.

LA - eng

KW - Grupo de Galois; Espacio de Grothendieck; Grupos de automorfismos; Cohomología de grupos; Grothendieck dessins; Riemann surfaces; linear representations on the space of holomorphic differentials; Galois group

UR - http://eudml.org/doc/44370

ER -

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