Mathematics

On multiple intersection point of homogeneous curves

G. S. Avagyan

Chair of Numerical Analysis and Mathematical Modeling YSU, Armenia

Abstract: In the present paper we describe the polynomial space, corresponding to the multiple intersection point of two curves that are given as products of correspondingly $m$ and $n$ different lines, passing through that point.
The main result gives the basis of that space, using polynomials, which correspond to the derivatives with respect to the directions of those lines.

Keywords: algebraic curves, intersection multiplicity.

Received: 06.03.2009
Accepted: 26.05.2009

Language: English