Description



Table of Contents
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.

An Introduction to the Theory of Algebraic Surfaces

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    A Paperback by Oscar Zariski

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      View other formats and editions of An Introduction to the Theory of Algebraic Surfaces by Oscar Zariski

      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: 01/01/1972
      ISBN13: 9783540046028, 978-3540046028
      ISBN10: 354004602X
      Also in:
      Mathematics

      Description



      Table of Contents
      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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