1.

Record Nr.

UNINA9910812947403321

Autore

Dolgachev I (Igor V.)

Titolo

Classical algebraic geometry : a modern view / / Igor V. Dolgachev

Pubbl/distr/stampa

Cambridge ; ; New York, : Cambridge University Press, 2012

ISBN

1-316-08965-7

1-107-23958-3

1-283-61058-2

9786613923035

1-139-55087-X

1-139-55583-9

1-139-54962-6

1-139-55458-1

1-139-55212-0

1-139-08443-7

Edizione

[1st ed.]

Descrizione fisica

1 online resource (xii, 639 pages) : digital, PDF file(s)

Classificazione

MAT038000

Disciplina

516.3/5

Soggetti

Geometry, Algebraic

Moduli theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di contenuto

Machine generated contents note: 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.

Sommario/riassunto

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.