On the Geometrization of the Absolute Galois Group

Verfasser / Beitragende:
[A. Kamalinejad]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/2(2015-08-01), 265-274
Format:
Artikel (online)
ID: 605526168
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024 7 0 |a 10.1007/s10958-015-2501-7  |2 doi 
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100 1 |a Kamalinejad  |D A.  |u Department of Mathematics, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran  |4 aut 
245 1 0 |a On the Geometrization of the Absolute Galois Group  |h [Elektronische Daten]  |c [A. Kamalinejad] 
520 3 |a A method for exhibiting the equation of an algebraic curve for a large class of dessins on an orientable closed surface is developed, and the action of the absolute Galois group is realized as a modification of the associated cell structures. An application to quadratic differentials is discussed. A Galois invariant measure on ℂℙ(1) is introduced. Towers of (flat) refinements of dessins are introduced that relate the inverse system structure of the absolute Galois group to geometric/combinatorial structures on surfaces. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/2(2015-08-01), 265-274  |x 1072-3374  |q 209:2<265  |1 2015  |2 209  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Kamalinejad  |D A.  |u Department of Mathematics, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/2(2015-08-01), 265-274  |x 1072-3374  |q 209:2<265  |1 2015  |2 209  |o 10958