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Geometric Galois Actions. Volume 2. The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups. /
This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
1997.
|
| Colección: | London Mathematical Society lecture note series ;
no. 243. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Geometric Galois Actions. |n Volume 2. |p The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups. / |c edited by Leila Schneps, Pierre Lochak. |
| 246 | 3 | 0 | |a Inverse Galois Problem, Moduli Spaces and Mapping Class group |
| 260 | |a Cambridge : |b Cambridge University Press, |c 1997. | ||
| 300 | |a 1 online resource (360 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 243 | |
| 500 | |a Title from PDF title page (viewed on Apr 9, 2013). | ||
| 500 | |a Title from publishers bibliographic system (viewed on 22 Dec 2011). | ||
| 520 | |a This book surveys progress in the domains described in the hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology. | ||
| 505 | 0 | |a Cover -- Title -- Copyright -- Contents -- Introduction -- Abstracts of the talks -- Short Courses -- Individual talks -- Evening seminar on Teichmiiller and moduli space. -- Part I. Dessins d'enfants -- Unicellular Cartography and Galois Orbits of Plane Trees -- 0. Introduction -- 1. Belyi theorem for unicellular dessins -- 2. Edge rotation groups of unicellular dessins -- 3. Combinatorial structures help to see the edge rotation groups -- 4. Generalized Chebyshev polynomials of cartographically special trees -- References -- Galois Groups, Monodromy Groups and Cartographic Groups. | |
| 505 | 8 | |a 0. Introduction -- 1. The absolute Galois group -- 2. Belyfs Theorem -- 3. Belyt functions and dessins -- 4. Belyi pairs and permutations -- 5. Belyi's Theorem and uniformisation -- 6. Plane trees and Shabat polynomials -- 7. Examples of plane trees and their groups -- Appendix -- Permutation techniques for coset representations of modular subgroups -- 1. Introduction -- 2. Identifying congruence subgroups -- 3. Enlarging subgroups -- 4. Remarks and acknowledgements -- References -- Dessins d'enfants en genre 1 -- 0. Introduction. -- 1. Un exemple parametrique. | |
| 505 | 8 | |a 2. Dessins en genre 1, points de torsion et formes modulaires. -- 3. Dessins d'enfants en genre 1 et isogenies. Un exemple. -- 4 Remerciements. -- References -- Part II. The Inverse Galois Problem -- The Regular Inverse Galois Problem over Large Fields -- 1. Introduction. -- 2. Conjectures. -- 3. Results. -- 4 Main arguments. -- References -- The Symplectic Braid Group and Galois Realizations -- 0. Introduction -- 1. Artin's braid group -- 2. Coverings -- 3. Varieties associated with the Coxeter group of type Ct -- 4. Choosing the group G. | |
| 505 | 8 | |a 5. Generators of the symplectic braid group -- References -- Applying Modular Towers to the Inverse Galois Problem -- 0. Introduction to the main problem. -- 1. Precise versions of the main conjecture. -- 2. Construction of universal Prattini covers. -- 3. Progress on the case A5 and C = C3r. -- 4.A. Lifting elements of order p. -- Appendix I. Nielsen classes and Modular Towers. -- Appendix II. Equivalence of covers of the sphere -- References -- Part III. Galois actions and mapping class groups -- Galois group GQ, Singularity E7, and Moduli M3 -- 0. Introduction -- 1. E7 and M3. | |
| 505 | 8 | |a 2. Tangential morphisms -- 3. Galois action on Artin groups -- References -- Monodromy of Iterated Integrals and Non-abelian Unipotent Periods -- 0. Introduction. -- 1. Canonical connection with logarithmic singularities. -- 2. The Gauss-Manin connection associated with the morphism -- 3. Homotopy relative tangential base points on P1 (C)\{a1 ..., an+1}. -- 4. Generators of 7Ti(P1(C)\{a1 ..., an+1}, x). -- 5. Monodromy of iterated integrals on P1(C)\{a1 ..., an+1} -- 6. Calculations. -- 7. Configuration spaces. -- 8. The Drinfeld-Ihara Z/5-cycle relation. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 0 | |a Moduli theory. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 6 | |a Théorie des modules. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Geometry, Algebraic. |2 fast |0 (OCoLC)fst00940902 | |
| 650 | 7 | |a Moduli theory. |2 fast |0 (OCoLC)fst01024524 | |
| 700 | 1 | |a Schneps, Leila. | |
| 700 | 1 | |a Lochak, P. |q (Pierre) | |
| 776 | 0 | 8 | |i Print version: |z 9780521596411 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 243. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552418 |z Texto completo |
| 938 | |a EBSCOhost |b EBSC |n 552418 | ||
| 994 | |a 92 |b IZTAP | ||