An Introduction to the Theory of Algebraic Surfaces
Zariski, Oscar.
An Introduction to the Theory of Algebraic Surfaces Notes by James Cohn, Harvard University, 1957–58 / [electronic resource] : by Oscar Zariski. - CXII, 106 p. online resource. - Lecture Notes in Mathematics, 83 0075-8434 ; . - Lecture Notes in Mathematics, 83 .
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.
9783540360926
10.1007/BFb0082246 doi
Mathematics.
Mathematics, general.
QA1-939
510
An Introduction to the Theory of Algebraic Surfaces Notes by James Cohn, Harvard University, 1957–58 / [electronic resource] : by Oscar Zariski. - CXII, 106 p. online resource. - Lecture Notes in Mathematics, 83 0075-8434 ; . - Lecture Notes in Mathematics, 83 .
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.
9783540360926
10.1007/BFb0082246 doi
Mathematics.
Mathematics, general.
QA1-939
510