Geometric Invariant Theory for Polarized Curves
We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the fi
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Gilberto Bini Fabio Felici Margarida Melo Filippo Viviani
Geometric Invariant Theory for Polarized Curves
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis (ZRurich) Mario di Bernardo (Bristol) Alessio Figalli (Austin) Davar Khoshnevisan (Salt Lake City) Ioannis Kontoyiannis (Athens) Gabor Lugosi (Barcelona) Mark Podolskij (Heidelberg) Sylvia Serfaty (Paris and NY) Catharina Stroppel (Bonn) Anna Wienhard (Heidelberg)
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Gilberto Bini • Fabio Felici • Margarida Melo • Filippo Viviani
Geometric Invariant Theory for Polarized Curves
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Gilberto Bini Dipartimento di Matematica “F. Enriques” UniversitJa degli Studi di Milano Milano Italy
Fabio Felici Filippo Viviani Dipartimento di Matematica e Fisica UniversitJa degli Studi di Roma Tre Rome Italy
Margarida Melo Departamento de Matemática Universidade de Coimbra Coimbra Portugal
ISBN 978-3-319-11336-4 ISBN 978-3-319-11337-1 (eBook) DOI 10.1007/978-3-319-11337-1 Springer Cham Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2014954809 Mathematics Subject Classification (2010): 14L24, 14H40, 14C05, 14H10, 14D23, 14B05 © Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warra
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