Foliations with persistent singularities |
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| Authors: | César Massri Ariel Molinuevo Federico Quallbrunn |
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| Institution: | 1. Departamento de Matemática, Pabellón I, Ciudad Universitaria, CP C1428EGA, Buenos Aires, Argentina;2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, CEP. 21945-970 Rio de Janeiro - RJ, Brazil;3. Departamento de Matemática, Universidad CAECE, Av. de Mayo 866, CP C1084AAQ, Buenos Aires, Argentina;1. CMCC, Universidade Federal do ABC, Av. dos Estados, 5001 - Bangú, Santo André - SP, 09210-580, Brazil;2. Departamento de Matemática, Universidade Federal de Santa Catarina, Florianópolis, Brazil;3. Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Caparica, Portugal;4. IMECC, Universidade Estadual de Campinas, Campinas, Brazil;5. Saint Petersburg State University, Russia;1. University of Virginia, United States of America;2. Bucknell University, United States of America;1. Departamento de Matematicas, Centro Universitario de Ciencias Exactas e Ingenierias, Universidad de Guadalajara, Mexico;2. School of Mathematics, University of Bristol, Fry Building, Woodland Road, Bristol, BS8 1UG, UK;3. Heilbronn Institute for Mathematical Research, Bristol, UK |
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| Abstract: | Let ω be a differential q-form defining a foliation of codimension q in a projective variety. In this article we study the singular locus of ω in various settings. We relate a certain type of singularities, which we name persistent, with the unfoldings of ω, generalizing previous work done on foliations of codimension 1 in projective space. We also relate the absence of persistent singularities with the existence of a connection in the sheaf of 1-forms defining the foliation. |
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| Keywords: | 14Mxx 37F75 32S65 32G13 |
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