Details:
Title  Resultant over the residual of a complete intersection  Author(s)  Laurent Buse, Mohamed Elkadi, Bernard Mourrain  Text  Journal of Pure and Applied Algebra to appear.  Type  Technical Report, Misc  Abstract  In this article, we study the residual resultant which is the necessary and sufficient condition for a polynomial system F to have a solution in the residual of a variety, defined here by a complete intersection G. We show that it corresponds to an irreducible divisor and give an explicit formula for its degree in the coefficients of each polynomial. Using the resolution of the ideal (F : G) and computing its regularity, we give a method for computing the residual resultant using a matrix which involves a Macaulay and a Bezout part. In particular, we show that this resultant is the gcd of all the maximal minors of this matrix. We illustrate our approach for the residual of points and end by some explicit examples. 
Language  English  Journal  Journal of Pure and Applied Algebra  Year  2001  Edition  0  Translation 
No  Refereed 
No 
