An Introduction to the Theory of Algebraic Surfaces (Lecture Notes in Mathematics, 83, Band 83) - Softcover

Zariski, Oscar

 
9783540046028: An Introduction to the Theory of Algebraic Surfaces (Lecture Notes in Mathematics, 83, Band 83)
Softcover
ISBN 10: 354004602X ISBN 13: 9783540046028
Verlag: Springer, 2009

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Biography of Oscar Zariski Oscar Zariski (24.4.1899-4.7.1986) was born in Kobryn, Poland, and studied at the universities of Kiev and Rome. He held positions at Rome University, John Hopkins University, the University of Illinois and from 1947 at Harvard University. Zariski's main fields of activity were in algebraic geometry, algebra, algebraic function theory and topology. His most influential results bear on algebraic surfaces, the resolution of singularities and the foundations of algebraic geometry over arbitrary fields.

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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
354004602X
ISBN 13 
9783540046028
Einband
Taschenbuch
Anzahl der Seiten
108
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