An introduction to the theory of algebraic surfaces

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Dettagli Bibliografici
Autore principale: Zariski, Oscar, 1899-1986
Altri autori: Cohn, James (Redattore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 83
Soggetti:
Accesso online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Cours donné à Harvard university, 1957-1958
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• An introduction to the theory of algebraic surfaces, Oscar Zariski,..., 1969, Berlin [etc.], Springer-Verlag, 1 vol. (100 p.), Lecture notes in mathematics, 0-387-04602-X
• An Introduction to the Theory of Algebraic Surfaces, Texte imprimé, 9783662214268
Sommario:
  • Homogeneous and non-homogeneous point coordinates
  • Coordinate rings of irreducible varieties
  • Normal varieties
  • Divisorial cycles on a normal projective variety V/k (dim(V)=r?1)
  • Linear systems
  • Divisors on an arbitrary variety V
  • Intersection theory on algebraic surfaces (k algebraically closed)
  • Differentials
  • The canonical system on a variety V
  • Trace of a differential
  • The arithemetic genus
  • Normalization and complete systems
  • The Hilbert characteristic function and the arithmetic genus of a variety
  • The Riemann-Roch theorem
  • Subadjoint polynomials
  • Proof of the fundamental lemma.