Ebook Info
- Published: 2014
- Number of pages: 112 pages
- Format: PDF
- File Size: 12.13 MB
- Authors: Oscar Zariski
Description
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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