Limits of dual curves via foliations |
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| Authors: | Eduardo Esteves Nivaldo Medeiros Wállace Sousa |
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| Institution: | 1. Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro RJ, Brazil;2. Universidade Federal Fluminense, Instituto de Matemática e Estatística, Rua Professor Marcos Waldemar de Freitas Reis, s/n, Campus Gragoatá, 24210-201 Niterói RJ, Brazil;3. Universidade Federal da Paraíba, Centro de Ciências Exatas e da Natureza, Departamento de Matemática, Campus Universitário, 58051-900 João Pessoa PB, Brazil;1. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran;2. Dipartimento di Ingegneria Meccanica, Energetica, Gestionale e dei Trasporti, Università degli Studi di Genova, Genoa, Italy;1. DISMA-Department of Mathematical Sciences, Politecnico di Torino, Turin, Italy;2. Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, United States of America |
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| Abstract: | We develop a method to compute limits of dual plane curves in Zeuthen families of any kind. More precisely, we compute the limit 0-cycle of the ramification scheme of a general linear system on the generic fiber, only assumed geometrically reduced, of a Zeuthen family of any kind. |
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| Keywords: | Dual curves Foliations Ramification points |
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