springer copernicus sep 1983 (2 resultados)

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -I Algebraic Groups.- 1. Groups, subgroups, and factor groups.- 2. Intersections and Pontrjagin products.- 3. The field of definition of a group variety.- II General Theorems on Abelian Varieties.- 1. Rational maps of varieties into abelian varieties.- 2. The Jacobian variety of a curve.- 3. The Albanese variety.- III The Theorem of the Square.- 1. Algebraic equivalence.- 2. The theorem of the cube and the theorem of the square.- 3. The theorem of the square for groups.- 4. The kernel in the theorem of the square.- IV Divisor Classes on an Abelian Variety.- 1. Applications of the theorem of the square to abelian varieties.- 2. The torsion group.- 3. Numerical equivalence.- 4. The Picard variety of an abelian variety.- V Functorial Formulas.- 1. The transpose of a homomorphism.- 2. A list of formulas and commutative diagrams.- 3. The involutions.- VI The Picard Variety of an Arbitrary Variety.- 1. Construction of the Picard variety.- 2. Divisorial correspondences.- 3. Application to the theory of curves.- 4. Reciprocity and correspondences.- VII The l-Adic Representations.- 1. The l-adic spaces.- 2. Dual representations.- VIII Algebraic Systems of Abelian Varieties.- 1. The K/k-image.- 2. The generic hyperplane section.- 3. The K/k-trace.- 4. The transpose of an exact sequence.- 5. Duality between image and trace.- 6. Exact sequences of varieties.- Appendix Composition of Correspondences.- 1. Inverse images.- 2. Divisorial correspondences.- Table of Notation.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch.

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This volume contains most of the contributions presented at the conference 'Mathematical Learning Models - Theory and Algorithms'. The conference was organized by the Institute of Applied Mathematics of the University of Bonn under the auspices of the Sonderforschungs bereich 72. It took place in the Physikzentrum in Bad Honnef near to Bonn from May 3 - May 7, 1982. The idea of the organizers was to bring together experts who work on very related problems, but partially by using different approaches. The main subjects of the program were: - mathematical learning models, - bandit problems, - stochastic approximation procedures, - sequential decision processes with unknown law of nature. We felt that in a sense 'learning' was a common concept for all these branches. In the contributions the state of the art in the above topics was presented from different pOints of view with special regard to recent advances. The exchange of results and opinions was continued in many fruitful and vivid discussions. The atmosphere of the conference center offered a suitable and pleasant framework for the scientific program. We express our gratitude to all contributors for making the con ference successful. Simultaneously we hope that further work on the above mentioned field has been stimulated.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 244 pp. Englisch.