TY - BOOK AU - Zariski,Oscar ED - SpringerLink (Online service) TI - An Introduction to the Theory of Algebraic Surfaces: Notes by James Cohn, Harvard University, 1957–58 T2 - Lecture Notes in Mathematics, SN - 9783540360926 AV - QA1-939 U1 - 510 23 PY - 1969/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Mathematics, general N1 - 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 UR - http://dx.doi.org/10.1007/BFb0082246 ER -