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On The Linearization Problem and Some Questions for Webs in ℂ2

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Algebraic Geometry and Singularities

Part of the book series: Progress in Mathematics ((PM,volume 134))

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Abstract

This is an enlarged version of a talk given in La Rábida 91 which was entitled “Webs of maximum rank in ℂ2 which are algebraic”. We begin with a short survey on web geometry in ℂ2. The linearization problem for webs in ℂ2 is discussed and new results are given. In particular, we characterize maximum rank webs in ℂ2 which are linearizable. At the end of the article, we pose some questions and we show how to use basic facts of algebraic analysis (i.e., D-modules theory) to recover some classical results and study new problems for webs in ℂ2.

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© 1996 Birkhäuser Verlag Basel/Switzerland

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Hénaut, A. (1996). On The Linearization Problem and Some Questions for Webs in ℂ2 . In: López, A.C., Macarro, L.N. (eds) Algebraic Geometry and Singularities. Progress in Mathematics, vol 134. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9020-5_10

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  • DOI: https://doi.org/10.1007/978-3-0348-9020-5_10

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9870-6

  • Online ISBN: 978-3-0348-9020-5

  • eBook Packages: Springer Book Archive

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