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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59

David Mumford

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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

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Schlagwörter

Nonlinear system, Chern class, Group ring, Cohomology, Projective space, Union (set theory), Dense set, Generic point, Subring, Rational function, Family of curves, Sheaf (mathematics), Algebraic geometry, Local ring, Invertible sheaf, Rational point, Topology, Coherent sheaf, Morphism, Morphism of schemes, Polynomial, Binary operation, Open set, Symmetric function, Functor, Summation, Differential form, Complex vector bundle, Direct product, Algebraic topology, Algebraically closed field, Affine space, Homomorphism, Zariski topology, Formal power series, Power series, Zero divisor, Pairwise