Can I read Generalized Resultants over Unirational Algebraic Varieties on EtoBox?

Generalized Resultants over Unirational Algebraic Varieties by Laurent Busé; Mohamed Elkadi; Bernard Mourrain is a Computer Science article available to read on EtoBox.

What is Generalized Resultants over Unirational Algebraic Varieties about?

In this paper, we propose a new method, based on Bezoutian matrices, for computing a nontrivial multiple of the resultant over a projective variety X, which is described on an open subset by a parameterization. This construction, which generalizes the classical and toric one, also applies for instance to blowing up varieties and to residual intersection problems. We recall the classical notion of resultant over a variety X. Then we extend it to varieties which are parameterized on a dense open subset and give new conditions for the existence of the resultant over these varieties. We prove that any maximal nonzero minor of the corresponding Bezoutian matrix yields a nontrivial multiple of the resultant. We end with some experiments.

Who reads Generalized Resultants over Unirational Algebraic Varieties?

Author

Laurent Busé; Mohamed Elkadi; Bernard Mourrain

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0747-7171)

Published

2000

Language

EN

Field

Computer Science (Physical Sciences)