Contemporary Mathematics 1992; 278 pp; softcover Volume: 123 ISBN10: 0821851314 ISBN13: 9780821851319 List Price: US$60 Member Price: US$48 Order Code: CONM/123
 1989 marked the 150th anniversary of the birth of the great Danish mathematician Hieronymus Georg 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. Table of Contents  S. L. Kleiman  Hieronymus Georg Zeuthen (18391920)
 P. Aluffi  How many smooth plane cubics with given \(j\)invariant are tangent to \(8\) lines in general position?
 S. J. Colley and G. Kennedy  Triple and quadruple contact of plane curves
 M. Coppens and T. Johnsen  Secant lines of smooth projective curves; an infinitesimal study of the symmetric products
 A. Hefez and N. Kakuta  New bounds for Fermat curves over finite fields
 S. Katz  Discriminants and limits of duals of plane curves
 S. Kleiman and R. Piene  On the inseparability of the Gauss map
 D. Laksov and A. Thorup  The BrillSegre formula for families of curves
 R. Mallavibarrena and R. Piene  Duality for elliptic normal surface scrolls
 A. Mattuck  A note on the RiemannKempf theorem for curves
 J. M. Miret and S. X. Descamps  On the geometry of nodal plane cubics: the condition \(p\)
 A. Parusinski and P. Pragacz  Characteristic numbers of degeneracy loci
 C. Procesi and S. X. Descamps  On Halphen's first formula
 P. Roberts  Negative intersection multiplicities on singular varieties
 F. Rosselló  Triple contact formulas in \(\Bbb P^3\)
 I. Vainsencher  Elliptic quartic curves in a generic quintic threefold
 L. J. van Gastel  Characteristic numbers of plane curves; An excess intersection theoretical approach
 L. J. van Gastel  Degenerations of conormal varieties
