Geodesic
On multiple intersection point of homogeneous curves
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2009), pp. 32-36

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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. 
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G. S. Avagyan. On multiple intersection point of homogeneous curves. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2009), pp. 32-36. http://geodesic.mathdoc.fr/item/UZERU_2009_3_a4/