Arrangements, Local Systems and Singularities CIMPA Summer School, G
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Series Editors H. Bass J. Oesterlé A. Weinstein
Arrangements, Local Systems and Singularities CIMPA Summer School, Galatasaray University, Istanbul, 2007
Fouad El Zein Alexander I. Suciu Meral Tosun A. Muhammed Uludağ Sergey Yuzvinsky Editors
Birkhäuser Basel · Boston · Berlin
Editors: Fouad El Zein Institute of Mathematics Case 7012, 2 place Jussieu 75251 Paris Cedex 05 France e-mail: [email protected] and
Meral Tosun Galatasaray University Mathematics Department Ciragan Cad. No 36 Besiktas, 34357 Istanbul Turkey e-mail: [email protected]
Center for Advanced Mathematical Sciences (CAMS) American University of Beirut P.O. Box 11-236 Beirut Lebanon
A. Muhammed Uludağ Galatasaray University Mathematics Department Ciragan Cad. No 36 Besiktas, 34357 Istanbul Turkey e-mail: [email protected]
Alexandru I. Suciu Northeastern University Department of Mathematics 360 Huntington Avenue Boston, MA 02115 USA e-mail: [email protected]
Sergey Yuzvinsky Department of Mathematics University of Oregon Eugene, OR 97405 USA e-mail: [email protected]
2000 Mathematics Subject Classification: Primary 52C35, 32S22, 55N25, 14C21, 32J25, 32S20, 32S35; Secondary 20F34, 05E25, 06A07, 14F35, 55R80, 13D02 Library of Congress Control Number: 2009938996 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de
ISBN 978-3-0346-0208-2 Birkhäuser Verlag AG, Basel · Boston · Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2010 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-0346-0208-2
e-ISBN 978-3-0346-0209-9
987654321
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Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .vii List of Participants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Emanuele Delucchi Combinatorics of Covers of Complexified Hyperplane Arrangements. . . . . . .1 Graham Denham Homological Aspects of Hyperplane Arrangements . . . . . . . . . . . . . . . . . . . . . . . 39 Alexandru Dimca Pencils of Plane Curves and Characteristic Varieties . . . . . . . . . . . . . . . . . . . . . 59 Alexandru Dimca and Sergey Yuzvinsky Lectures on Orlik-Solomon Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Fouad El Zein and Jawad Snoussi Local Systems and Constructible Sheaves. . .
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