Limits of translates of plane curves, II

P. Aluffi, C. Faber

Every complex plane curve *C* determines a subscheme *S*
of the **P**^{8} of 3x3 matrices, whose *projective
normal cone* (PNC) captures subtle invariants of *C*.

In a previous paper (FSU07-15) we obtain a set-theoretic
description of the PNC and thereby we determine all possible limits of
families of plane curves whose general element is isomorphic to
*C*. The main result of this article is the determination of the
PNC as a cycle; this is an essential ingredient in our
computation in *Linear orbits of arbitrary plane curves,*
Michigan Math J., 48 (2000) 1-37, of the degree of the
PGL(3)-orbit closure of an arbitrary plane curve, an invariant of
natural enumerative significance.

This paper, together with FSU07-15, supersede paper FSU03-08.