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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.
- Format: Pocket/Paperback
- ISBN: 9783540046028
- Språk: Engelska
- Antal sidor: 106
- Utgivningsdatum: 1969-01-01
- Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K