An Introduction to the Theory of Algebraic Surfaces

von Oscar Zariski

108 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540046028
• Sprache: Englisch
• Erscheinungsdatum: 01.01.1969
• Größe: 235 x 155 mm
• Verlag: Springer