Algebraic Curves Towards Moduli Spaces
This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory
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Maxim E. Kazaryan · Sergei K. Lando Victor V. Prasolov
Algebraic Curves Towards Moduli Spaces
Moscow Lectures Volume 2
Series Editors Lev D. Beklemishev, Moscow, Russia Vladimir I. Bogachev, Moscow, Russia Boris Feigin, Moscow, Russia Valery Gritsenko, Moscow, Russia Yuly S. Ilyashenko, Moscow, Russia Dmitry B. Kaledin, Moscow, Russia Askold Khovanskii, Moscow, Russia Igor M. Krichever, Moscow, Russia Andrei D. Mironov, Moscow, Russia Victor A. Vassiliev, Moscow, Russia Managing Editor Alexey L. Gorodentsev, Moscow, Russia
More information about this series at http://www.springer.com/series/15875
Maxim E. Kazaryan • Sergei K. Lando • Victor V. Prasolov
Algebraic Curves Towards Moduli Spaces
123
Maxim E. Kazaryan Steklov Mathematical Institute of RAS National Research University Higher School of Economics Skolkovo Institute of Science and Technology Moscow, Russia
Sergei K. Lando National Research University Higher School of Economics Skolkovo Institute of Science and Technology Moscow, Russia
Victor V. Prasolov Independent University of Moscow Moscow, Russia
Translated from the Russian by Natalia Tsilevich.: Originally published as Алгебраические Кривые по направлению к пространствам модулей by MCCME, 2018.
ISSN 2522-0314 ISSN 2522-0322 (electronic) Moscow Lectures ISBN 978-3-030-02942-5 ISBN 978-3-030-02943-2 (eBook) https://doi.org/10.1007/978-3-030-02943-2 Library of Congress Control Number: 2018964412 Mathematics Subject Classification (2010): 14H10, 14H37, 14H55, 14H70 © Springer Nature Switzerland AG 2018 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, express 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. Cover illustration: https://www.istockphoto.com/de/foto/panorama-der-stadt-moskau-gm49008001475024685, with kind permission This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerlan
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