Annual Member
| Author | Zariski, Oscar. author |
|---|---|
| Title | An Introduction to the Theory of Algebraic Surfaces [electronic resource] : Notes by James Cohn, Harvard University, 1957-58 / by Oscar Zariski |
| Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1969 |
| Connect to | http://dx.doi.org/10.1007/BFb0082246 |
| Descript | CXII, 106 p. online resource |
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
