| Recent Progress in Intersection Theory 2000 Edition Contributor(s): Ellingsrud, Geir (Editor), Fulton, William (Editor), Vistoli, Angelo (Editor) |
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ISBN: 081764122X ISBN-13: 9780817641221 Publisher: Birkhauser OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: February 2000 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Number Theory - Science | Physics - Mathematical & Computational |
| Dewey: 516.35 |
| LCCN: 99053410 |
| Series: Trends in Mathematics |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.44 lbs) 327 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |