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      Combinatorial Maximal Contact Theory

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          Abstract

          In this paper we give a combinatorial version of Hironaka's maximal contact theory in terms of characteristic polyhedra systems. In particular, we give a combinatorial solution to the global existence of maximal contact in this context.

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          Reduction of the singularities of codimension one singular foliations in dimension three

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            Desingularization of non-dicritical holomorphic foliations and existence of separatrices

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              Resolution of singularities of real-analytic vector fields in dimension three

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                Author and article information

                Journal
                22 November 2017
                Article
                1711.08258
                0d157826-d1d0-452b-ac98-8478d35577a8

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                math.AG

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