An Introduction to the Theory of Algebraic Surfaces

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Verlag: Springer, Berlin
Autor: Oscar Zariski
Artikel-Nr.: KNV23260576
ISBN: 9783540046028

Homogeneous and non-homogeneous point coordinates.- Coordinate rings of irreducible varieties.-... mehr

Produktinformationen "An Introduction to the Theory of Algebraic Surfaces"

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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