RECENT PROGRESS IN INTERSECTION THEORY (HB 2000)

ELLINGSRUD G.

ISBN 10: 081764122X / ISBN 13: 9780817641221

Editore: SP SPRINGER, 2000

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Riassunto:

The articles in this volume are an outgrowth of an International Confer­ ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were research-oriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E. M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo­ metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the Bloch-Beilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and Gromov-Witten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com­ mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no.

Contenuti: Complete Moduli for Fibered Surfaces.- Normal Differential Operators and Deformation Theory.- Notes on the Construction of the Moduli Space of Curves.- The Excess Intersection Formula and Gravitational Correlators.- Join Varieties and Intersection Theory.- Equimultiplicity and Equidimensionality of Normal Cones.- Intersection Products for Spaces of Algebraic Cycles.- Schur Q-Functions and Degeneracy Locus Formulas for Morphisms with Symmetries.- Algebraic Cycles and Motives: An Introduction.- Zero Estimates on Abelian Varieties.- Generalized Plücker Formulas.

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Titolo: RECENT PROGRESS IN INTERSECTION THEORY (HB ...
Casa editrice: SP SPRINGER
Data di pubblicazione: 2000
Legatura: Rilegato
Condizione: New Books
Edizione: Edizione Internazionale