On maximal decompositions of rational functions Export

@misc{citeulike:2174406, abstract = {In this paper we extend the first Ritt theorem about decompositions of polynomials to rational functions the monodromy group of which contains a cyclic subgroup with at most two orbits. Besides, we give a detailed analysis of the simplest examples of rational functions, related to finite subgroups of the sphere, for which the first Ritt theorem fails to be true.}, archivePrefix = {arXiv}, author = {Muzychuk, M. and Pakovich, F.}, citeulike-article-id = {2174406}, citeulike-linkout-0 = {http://arxiv.org/abs/0712.3869}, citeulike-linkout-1 = {http://arxiv.org/pdf/0712.3869}, day = {22}, eprint = {0712.3869}, keywords = {algebraic\_geometry, complex\_analysis}, month = {Dec}, posted-at = {2007-12-27 06:19:41}, priority = {3}, title = {On maximal decompositions of rational functions}, url = {http://arxiv.org/abs/0712.3869}, year = {2007} }

TY - ELEC ID - citeulike:2174406 L3 - citeulike-article-id:2174406 N2 - In this paper we extend the first Ritt theorem about decompositions of polynomials to rational functions the monodromy group of which contains a cyclic subgroup with at most two orbits. Besides, we give a detailed analysis of the simplest examples of rational functions, related to finite subgroups of the sphere, for which the first Ritt theorem fails to be true. TI - On maximal decompositions of rational functions KW - algebraic_geometry KW - complex_analysis AU - Muzychuk, M AU - Pakovich, F PY - 2007/Dec/22/ UR - http://arxiv.org/abs/0712.3869 ER -