An Introduction to the Theory of Algebraic Surfaces [electronic resource] : Notes by James Cohn, Harvard University, 1957–58 / by Oscar Zariski.
Material type: TextSeries: Lecture Notes in Mathematics ; 83Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1969Description: CXII, 106 p. online resourceContent type:- text
- computer
- online resource
- 9783540360926
- 510 23
- QA1-939
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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