Translations of Mathematical Monographs 1993; 164 pp; softcover Volume: 127 Reprint/Revision History: reprinted 2005 ISBN10: 0821838377 ISBN13: 9780821838372 List Price: US$72 Member Price: US$57.60 Order Code: MMONO/127.S
 During the last twenty years algebraic geometry has experienced a remarkable shift from development of abstract theories to investigation of concrete properties of projective varieties. Many problems of classical algebraic geometry centered on linear systems, projections, embedded tangent spaces, and so on. Use of modern techniques has made it possible to make progress on some of these problems. Following these themes, this book covers these topics, among others: tangent spaces to subvarieties of projective spaces and complex tori, projections of algebraic varieties, classification of Severi varieties, higher secant varieties, and classification of Scorza varieties over an algebraically closed field of characteristic zero. Readership Research mathematicians. Table of Contents  Theorem on tangencies and Gauss maps
 Projections of algebraic varieties
 Varieties of small codimension corresponding to orbits of algebraic groups
 Severi varieties
 Linear systems of hyperplane sections on varieties of small codimension
 Scorza varieties
 References
 Index of notations
