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Recent Progress in Intersection Theory (Paperback, Softcover reprint of the original 1st ed. 2000)
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Recent Progress in Intersection Theory (Paperback, Softcover reprint of the original 1st ed. 2000)
Series: Trends in Mathematics
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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.
General
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