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Enumeration of $N$-fold Tangent Hyperplanes to a Surface by Vainsencher, Israel is a scholarly article available to read on EtoBox.

What is Enumeration of $N$-fold Tangent Hyperplanes to a Surface about?

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.

Author

Vainsencher, Israel

Published

1993

Language

EN