Enumerative Algebraic Geometry: Proceedings of the 1989 Zeuthen SymposiumSteven L. Kleiman, Anders Thorup American Mathematical Soc., 1991 - 278 pàgines 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. |
Continguts
| 1 | |
How many smooth plane cubics with given jinvariant are tangent to 8 lines in general position? | 15 |
Triple and quadruple contact of plane curves | 31 |
an infinitesimal study of the symmetric products | 61 |
New bounds for fermat curves over finite fields | 89 |
Discriminants and limits of duals of plane curves | 99 |
On the inseparability of the gauss map | 107 |
The BrillSegre formula for families of curves | 131 |
the condition p | 169 |
Characteristic numbers of degeneracy loci | 189 |
On Halphens first formula | 199 |
Negative intersection multiplicities on singular varieties | 213 |
Triple contact formulas in P3 | 223 |
Elliptic quartic curves in a generic quintic threefold | 247 |
An excess intersection theoretical approach | 259 |
Degenerations of conormal varieties | 267 |
Duality for elliptic normal surface scrolls | 149 |
A note on the RiemannKempf theorem for curves | 161 |
Altres edicions - Mostra-ho tot
Enumerative algebraic geometry: proceedings of the 1989 Zeuthen Symposium ... Zeuthen Symposium (1989, København) Previsualització no disponible - 1991 |
Enumerative Algebraic Geometry: Proceedings of the 1989 Zeuthen Symposium Steven L. Kleiman,Anders Thorup Previsualització no disponible - 1991 |
Frases i termes més freqüents
Algebraic Geometry assume bad points bundle characteristic numbers Chern Chern class closure codimension complete intersection compute conics conormal consider coordinates corresponding curve of degree cusp cycle defined definition degeneration denote dual varieties Editors enumerative Enumerative geometry equal equation exact sequence example family of curves family of plane fiber fibre finite follows formula Gauss map given H. G. Zeuthen Hence Hilb"P hyperplane hypersurface ideal injective integer intersection multiplicity intersection products invertible sheaf irreducible isomorphic Kleiman Lemma line divisor linear system locally free Math matrix modules Moreover nodal cubics nodal tangents non-degenerate non-singular normal notation obtained orbit parametrized plane cubics plane curves Plücker polynomial PROOF Proposition prove purely inseparable quadric rank rational resp scheme Schubert scroll sheaf smooth subscheme subspace subvariety Suppose surface surjection tangent space tangent space dimension Theorem 2.1 theory transversality triple contacts vector Wronski system wronskian zero