Real Algebraic Varieties
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous. They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however element
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Frédéric Mangolte
Real Algebraic Varieties
Springer Monographs in Mathematics Editors-in-Chief Isabelle Gallagher, Département de Mathématiques et Applications, Ecole Normale Supérieure, Paris, France Minhyong Kim, Mathematical Institute and School of Mathematics, University of Warwick and Korea Institute for Advanced Study, Coventry UK and Seoul, South Korea, UK Series Editors Sheldon Axler, Department of Mathematics, San Francisco State University, San Francisco, CA, USA Mark Braverman, Department of Mathematics, Princeton University, Princeton, NJ, USA Maria Chudnovsky, Department of Mathematics, Princeton University, Princeton, NJ, USA Tadahisa Funaki, Department of Mathematics, University of Tokyo, Tokyo, Japan Sinan Güntürk, Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, New York, NY, USA Claude Le Bris, CERMICS, Ecole des Ponts ParisTech, Marne la Vallée, France Pascal Massart, Département de Mathématiques, Université de Paris-Sud, Orsay, France Alberto A. Pinto, Department of Mathematics, University of Porto, Porto, Portugal Gabriella Pinzari, Department of Mathematics, University of Padova, Padova, Italy Ken Ribet, Department of Mathematics, University of California, Berkeley, CA, USA René Schilling, Institut für Mathematische Stochastik, Technische Universität Dresden, Dresden, Germany Panagiotis Souganidis, Department of Mathematics, University of Chicago, Chicago, IL, USA Endre Süli, Mathematical Institute, University of Oxford, Oxford, UK Shmuel Weinberger, Department of Mathematics, University of Chicago, Chicago, IL, USA Boris Zilber, Mathematical Institute, University of Oxford, Oxford, UK
This series publishes advanced monographs giving well-written presentations of the “state-of-the-art” in fields of mathematical research that have acquired the maturity needed for such a treatment. They are sufficiently self-contained to be accessible to more than just the intimate specialists of the subject, and sufficiently comprehensive to remain valuable references for many years. Besides the current state of knowledge in its field, an SMM volume should ideally describe its relevance to and interaction with neighbouring fields of mathematics, and give pointers to future directions of research.
More information about this series at http://www.springer.com/series/3733
Frédéric Mangolte
Real Algebraic Varieties
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Frédéric Mangolte LAREMA Université d’Angers Angers, France Translated by Catriona Maclean Institut Fourier Grenoble Alpes University Saint-Martin-d’Hères, France
ISSN 1439-7382 ISSN 2196-9922 (electronic) Springer Monographs in Mathematics ISBN 978-3-030-43103-7 ISBN 978-3-030-43104-4 (eBook) https://doi.org/10.1007/978-3-030-43104-4 Mathematics Subject Classification (2020): 14P25, 14P05, 14Pxx, 14E05, 14E07, 14R05, 14Jxx, 14Hxx, 26C15, 32Jxx, 57M50, 57Mxx, 57N10 Translation from the French language edition: Variétés algébriques réelles by Frédéric Mangolte, 2017. Published by SMF. All Rights Reserved. © Springer Nature Switzerland AG 2020 This work
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