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Beschreibung
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Über den Autor
Igor V. Dolgachev is Professor Emeritus in the Department of Mathematics at the University of Michigan.
Inhaltsverzeichnis
Preface; 1. Polarity; 2. Conics and quadrics; 3. Plane cubics; 4. Determinantal equations; 5. Theta characteristics; 6. Plane quartics; 7. Cremona transformations; 8. Del Pezzo surfaces; 9. Cubic surfaces; 10. Geometry of lines; Bibliography; Index.
Details
Erscheinungsjahr: 2015
Fachbereich: Topologie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781107017658
ISBN-10: 1107017653
Sprache: Englisch
Einband: Gebunden
Autor: Dolgachev, Igor V.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 240 x 161 x 42 mm
Von/Mit: Igor V. Dolgachev
Erscheinungsdatum: 20.10.2015
Gewicht: 1,252 kg
Artikel-ID: 106598749