Oscar Zariski

An Introduction to the Theory of Algebraic Surfaces

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 83
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-04602-8
• 1969
• Seitenzahl: 108
• Erscheinungstermin: 1. Januar 1969
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 189g
• ISBN-13: 9783540046028
• ISBN-10: 354004602X
• Artikelnr.: 23455976

Inhaltsangabe

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.