Enumeration of $n$-fold tangent hyperplanes to a surface
| dc.creator | Vainsencher, Israel | |
| dc.date | 1993-12-21 | |
| dc.date | 1994-01-24 | |
| dc.date.accessioned | 2026-07-07T08:57:49Z | |
| dc.date.available | 2026-07-07T08:57:49Z | |
| dc.description | For each $1\leq n\leq6$ we present formulas for the number of $n-$nodal curves in an $n-$dimensional linear system on a smooth, projective surface. This yields in particular the numbers of rational curves in the system of hyperplane sections of a generic $K3-$surface imbedded in \p{n} by a complete system of curves of genus $n$ as well as the number {\bf17,601,000} of rational ({\em singular}) plane quintic curves in a generic quintic threefold. | |
| dc.description | 34 pages, Latex (Corrects Latex errors of previous version, minor changes) | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9312012 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9312012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147079 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Enumeration of $n$-fold tangent hyperplanes to a surface | |
| dc.type | text |