Enumerative Algebraic Geometry: Proceedings of the 1989 Zeuthen Symposium : Proceedings of a Symposium Held July 30-August 6, 1989, With Support Fro - Brossura

Zeuthen Symposium; Kleiman, Steven L.; Zeuthen, H. G.; Statens Naturvidenskabelige Forskningsrad (Denmark)

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ISBN 10: 0821851314 ISBN 13: 9780821851319

Casa editrice: Amer Mathematical Society, 1992

Riassunto

1989 marked the 150th anniversary of the birth of the great Danish mathematician Hieronymus George Zeuthen. Zeuthen's name is known to every algebraic geometer because of his discovery of a basic invariant of surfaces. However, he also did fundamental research in intersection theory, enumerative geometry, and the projective geometry of curves and surfaces. Zeuthen's extraordinary devotion to his subject, his characteristic depth, thoroughness, and clarity of thought, and his precise and succinct writing style are truly inspiring. During the past ten years or so, algebraic geometers have reexamined Zeuthen's work, drawing from it inspiration and new directions for development in the field. The 1989 Zeuthen Symposium, held in the summer of 1989 at the Mathematical Institute of the University of Copenhagen, provided a historic opportunity for mathematicians to gather and examine those areas in contemporary mathematical research which have evolved from Zeuthen's fruitful ideas. This volume, containing papers presented during the symposium, as well as others inspired by it, illuminates some currently active areas of research in enumerative algebraic geometry.

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Contenuti

Steven L Kleiman, Hieronymous George Zeuthen (1839-1920); Paolo Aluffi, How many smooth plane cubics with given j-invariant are tangent to 8 lines in general position?; Susan Jane Colley and Gary Kennedy, Triple and quadruple contact of plan curves; Marc Coppens and Trygve Johnsen, Secant lines of smooth projective curves; an infinitesimal study of the symmetric products; Abramo Hefez and Neuza Kakuta, New bounds for Fermat curves over finite fields; Sheldon Katz, Discriminants and limits of duals of plane curves; Steven Kleiman and Ragni Piene, On the inseparability of the Gauss map; Dan Laksov and Anders Thorup, The Brill-Segre formula for families of curves; Raquel Mallavibarrena and Ragni Piene, Duality for elliptic normal surface scrolls; Arthur Mattuck, A note on the Riemann-Kempf theorem for curves; J M Miret and S Xambo Descamps, On the geometry of nodal plane cubics: the condition p; Adam Parusinski and Piotr Pragacz, Characteristic numbers of degeneracy loci; C Procesi and S Xambo Descamps, On Halphen's first formula; Paul Roberts, Negative intersection multiplicities on singular varieties; Francesc Rossello, Triple contact formulas in P3; Israel Vainsencher, Elliptic quartic curves in a generic quintic threefold; Leendert J van Gastel, Characteristic numbers of plane curves; An excess intersection theoretical approach; Leendert J van Gastel, Degenerations of conormal varieties.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 0821851314
• ISBN 13: 9780821851319
• Rilegatura: Copertina flessibile
• Numero di pagine: 278
• Redattore: Thorup Anders
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile