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An Introduction to the Theory of Algebraic Surfaces [electronic resource] : Notes by James Cohn, Harvard University, 1957–58 / by Oscar Zariski.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 83Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1969Description: CXII, 106 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540360926
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510 23
LOC classification:
  • QA1-939
Online resources:
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.
In: Springer eBooks
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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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