Two–strange projective curves

Abstract.

The notion of second order strange projective curve in $\mathbb{P}^n$, $n \geqq 3$, is introduced. A non–degenerate curve C in $\mathbb{P}^n$, $n \geqq 3$, is said to be a second order strange curve if it admits osculating conics and such that all its osculating conics pass through a common point called 2–strange point. An existence–construction result is provided and some examples are furnished.