Hyperbolicity of Varieties of Log General Type
These notes provide an overview of various notions of hyperbolicity for varieties of log general type from the viewpoint of both arithmetic and birational geometry. We begin by introducing the study of rational and integral points on curves and higher dim
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Marc-Hubert Nicole Editor
Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces Hyperbolicity in Montréal
CRM Short Courses Series Editor V´eronique Hussin, Universit´e de Montr´eal, Montr´eal, QC, Canada
Editorial Board Mireille Bousquet-M´elou (CNRS, LaBRI, Universit´e de Bordeaux) Antonio C´ordoba Barba (ICMAT, Universidad Aut´onoma de Madrid) Svetlana Jitomirskaya (UC Irvine) V. Kumar Murty (University of Toronto) Leonid Polterovich (Tel-Aviv University)
The volumes in the CRM Short Courses series have a primarily instructional aim, focusing on presenting topics of current interest to readers ranging from graduate students to experienced researchers in the mathematical sciences. Each text is aimed at bringing the reader to the forefront of research in a particular area or field, and can consist of one or several courses with a unified theme. The inclusion of exercises, while welcome, is not strictly required. Publications are largely but not exclusively, based on schools, instructional workshops and lecture series hosted by, or affiliated with, the Centre de Recherches Math´ematiques (CRM). Special emphasis is given to the quality of exposition and pedagogical value of each text.
More information about this series at http://www.springer.com/series/15360
Marc-Hubert Nicole Editor
Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces Hyperbolicity in Montr´eal
Editor Marc-Hubert Nicole Institut de math´ematiques de Marseille (I2M) Universit´e d’ Aix-Marseille Marseille, France
ISSN 2522-5200 ISSN 2522-5219 (electronic) CRM Short Courses ISBN 978-3-030-49863-4 ISBN 978-3-030-49864-1 (eBook) https://doi.org/10.1007/978-3-030-49864-1 Mathematics Subject Classification: 32Q45, 11G35, 14G35, 14G05, 14G25 © Springer Nature Switzerland AG 2020 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 assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer im
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