عنوان

Recent Progress in Intersection Theory

(Number (ISBN

9781461213161

(Number (ISBN

9781461270904

Number

b402728

Title Proper

Recent Progress in Intersection Theory

General Material Designation

[Book]

First Statement of Responsibility

edited by Geir Ellingsrud, William Fulton, Angelo Vistoli.

Place of Publication, Distribution, etc.

Boston, MA :

Name of Publisher, Distributor, etc.

Imprint: Birkhäuser,

Date of Publication, Distribution, etc.

2000.

Series Title

Trends in Mathematics

Text of Note

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.

0

Text of Note

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.

International Standard Book Number

9781461270904

Title

Springer eBooks

Algebraic topology.

Geometry, Algebraic.

Mathematics.

Number theory.

Ellingsrud, Geir.

Fulton, William.

Vistoli, Angelo.

SpringerLink (Online service)

Date of Transaction

20190307161500.0

Electronic name

[Book]

Y