caa a22 4500 605526168 CHVBK 20210128100802.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10958-015-2501-7 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2501-7 Kamalinejad A. Department of Mathematics, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran aut On the Geometrization of the Absolute Galois Group [Elektronische Daten] [A. Kamalinejad] 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. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/2(2015-08-01), 265-274 1072-3374 209:2<265 2015 209 10958 https://doi.org/10.1007/s10958-015-2501-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2501-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kamalinejad A. Department of Mathematics, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/2(2015-08-01), 265-274 1072-3374 209:2<265 2015 209 10958