An introduction to the theory of algebraic surfaces
著者
書誌事項
An introduction to the theory of algebraic surfaces
（Lecture notes in mathematics, 83）
Springer, 1969
- : Germany
- : U.S.
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内容説明・目次
目次
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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