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Local Systems and Constructible Sheaves

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Book cover Arrangements, Local Systems and Singularities

Part of the book series: Progress in Mathematics ((PM,volume 283))

Abstract

The article describes local systems, integrable connections, the equivalence of both categories and their relations to linear differential equations. We report in details on regular singularities of connections and on singularities of local systems which leads to the theory of intermediate extensions and the decomposition theorem.

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Author information

Authors and Affiliations

  1. Institute of Mathematics of Jussieu, Geometry and Dynamics, Case 7012, 2 place Jussieu, 75251, Paris Cedex 05, France

    Fouad El Zein (Associate member of CAMS)

  2. AUB, Beirut

    Fouad El Zein (Associate member of CAMS)

  3. Instituto de Mathemáticas Unidad Cuernavaca, UNAM, México

    Jawad Snoussi

Authors
  1. Fouad El Zein
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  2. Jawad Snoussi
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, Case 7012, 2 place Jussieu, 75251, Paris Cedex 05, France

    Fouad El Zein

  2. Center for Advanced Mathematical Sciences (CAMS), American University of Beirut, P.O. Box 11-236, Beirut, Lebanon

    Fouad El Zein

  3. Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, MA, 02115, USA

    Alexandru I. Suciu

  4. Mathematics Department, Galatasaray University, Ciragan Cad. No 36 Besiktas, 34357, Istanbul, Turkey

    Meral Tosun  & A. Muhammed Uludağ  & 

  5. Department of Mathematics, University of Oregon, Eugene, OR, 97405, USA

    Sergey Yuzvinsky

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Zein, F.E., Snoussi, J. (2009). Local Systems and Constructible Sheaves. In: El Zein, F., Suciu, A.I., Tosun, M., Uludağ, A.M., Yuzvinsky, S. (eds) Arrangements, Local Systems and Singularities. Progress in Mathematics, vol 283. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0209-9_5

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