On the Geometry of Some Special Projective Varieties

Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tang

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Francesco Russo

On the Geometry of Some Special Projective Varieties Winner of the UMI Book Prize 2015

Lecture Notes of the Unione Matematica Italiana

More information about this series at http://www.springer.com/series/7172

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Editorial Board

Ciro Ciliberto (Editor in Chief) Dipartimento di Matematica Universita’ di Roma Tor Vergata Via della Ricerca Scientifica 00133 Roma (Italia) e-mail: [email protected] Susanna Terracini (Co-editor in Chief) Università degli Studi di Torino Dipartimento di Matematica “Giuseppe Peano” Via Carlo Alberto 10 10123 Torino, Italy e-mail: [email protected] Adolfo Ballester-Bollinches Department d’Àlgebra Facultat de Matemàtiques Universitat de València Dr. Moliner, 50 46100 Burjassot (València) Spain e-mail: [email protected] Annalisa Buffa IMATI – C.N.R. Pavia Via Ferrata 1 27100 Pavia, Italy e-mail: [email protected] Lucia Caporaso Dipartimento di Matematica Università Roma Tre Largo San Leonardo Murialdo I-00146 Roma, Italy e-mail: [email protected] Fabrizio Catanese Mathematisches Institut Universitätstraße 30 95447 Bayreuth, Germany e-mail: [email protected] Corrado De Concini Dipartimento di Matematica Università di Roma “La Sapienza” Piazzale Aldo Moro 5 00185 Roma, Italy e-mail: [email protected] Camillo De Lellis Institut fuer Mathematik Universitaet Zuerich Winterthurerstrasse 190 The Editorial Policy can be found at the back of the volume.

CH-8057 Zuerich, Switzerland e-mail: [email protected] Franco Flandoli Dipartimento di Matematica Applicata Università di Pisa Via Buonarroti 1c 56127 Pisa, Italy e-mail: [email protected] Angus MacIntyre Queen Mary University of London School of Mathematical Sciences Mile End Road London E1 4NS United Kingdom e-mail: [email protected] Giuseppe Mingione Dipartimento di Matematica e Informatica Università degli Studi di Parma Parco Area delle Scienze, 53/a (Campus) 43124 Parma, Italy e-mail: [email protected] Mario Pulvirenti Dipartimento di Matematica, Università di Roma “La Sapienza” P.le A. Moro 2 00185 Roma, Italy e-mail: [email protected] Fulvio Ricci Scuola Normale Superiore di Pisa Piazza dei Cavalieri 7 56126 Pisa, Italy e-mail: [email protected] Valentino Tosatti Northwestern University Department of Mathematics 2033 Sheridan Road Evanston, IL 60208 USA e-mail: [email protected] Corinna Ulcigrai Forschungsinstitut für Mathematik HG G 44.1 Rämistrasse 101 8092 Zürich, Switzerland e-mail: [email protected]

Francesco Russo

On the Geometry of Some Special Projective Varieties

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Francesco Russo Dipartimento di Matematica e Informatica UniversitJa degli Studi di Catania Catania, Italy

ISSN 1862-9113 ISSN 1862-9121 (electronic) Lecture Notes of the Unione Matematica Italiana ISBN 978-3-319-26764-7 ISBN 978-3-319-26765-4 (eBook) DOI 10.1007/978-3-319-26765-4 Library of Congress Control Number: 2015958350 Mathematics Subject Classification: 14N05, 14M07, 14M10, 14M22, 14E30, 14J70, 14E05 Springer Cha