Generalized resultants over unirational algebraic varieties
In this paper, the authors present a new method based on Bezoutian matrices, to compute a non-trivial multiple of the resultant over a projective variety \(X\) described by a parametrization on an open subset. First, they recall the classical notion of resultant over a variety. Then, they consider the resultant in the case an open set of the variety \(X\) is parametrized. After recalling the construction of Bezoutian matrices and some of their properties, the authors show that, under some conditions, any maximal minor of the associated Bezoutian matrix is divisible by the resultant. Finally, some examples in MAPLE and applications are shown.
scientific article; zbMATH DE number 1471044