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AuthorZariski, Oscar. author
TitleAn Introduction to the Theory of Algebraic Surfaces [electronic resource] : Notes by James Cohn, Harvard University, 1957-58 / by Oscar Zariski
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1969
Connect tohttp://dx.doi.org/10.1007/BFb0082246
Descript CXII, 106 p. online resource

CONTENT

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


Mathematics Mathematics Mathematics general



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