Calabi-Yau Varieties: Arithmetic, Geometry and Physics Lecture Notes
This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi–Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross–Siebert pro
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Radu Laza Matthias Schütt Noriko Yui Editors
Calabi–Yau Varieties: Arithmetic, Geometry and Physics Lecture Notes on Concentrated Graduate Courses
Fields Institute Monographs VOLUME 34 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Carl R. Riehm, Managing Editor Edward Bierstone, Ian Hambleton Matheus Grasselli, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University Juris Steprans, York University
The Fields Institute is a centre for research in the mathematical sciences, located in Toronto, Canada. The Institutes mission is to advance global mathematical activity in the areas of research, education and innovation. The Fields Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, and seven Principal Sponsoring Universities in Ontario (Carleton, McMaster, Ottawa, Queen’s, Toronto, Waterloo, Western and York), as well as by a growing list of Affiliate Universities in Canada, the U.S. and Europe, and several commercial and industrial partners.
More information about this series at http://www.springer.com/series/10502
Radu Laza • Matthias Schütt • Noriko Yui Editors
Calabi-Yau Varieties: Arithmetic, Geometry and Physics Lecture Notes on Concentrated Graduate Courses
The Fields Institute for Research in the Mathematical Sciences
123
Editors Radu Laza Mathematics Department Stony Brook University Stony Brook, NY, USA
Matthias Schütt Institut für Algebraische Geometrie Leibniz Universität Hannover Hannover, Germany
Noriko Yui Department of Mathematics and Statistics Queen’s University Kingston, ON, Canada
ISSN 1069-5273 ISSN 2194-3079 (electronic) Fields Institute Monographs ISBN 978-1-4939-2829-3 ISBN 978-1-4939-2830-9 (eBook) DOI 10.1007/978-1-4939-2830-9 Library of Congress Control Number: 2015945196 Mathematics Subject Classification (2010): 14J32, 11Gxx, 24Dxx, 14Cxx, 32-xx, 81-xx Springer New York Heidelberg Dordrecht London © Springer Science+Business Media New York 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to
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