Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497235 | Journal of Pure and Applied Algebra | 2005 | 20 Pages |
Abstract
We give the first exact determinantal formula for the resultant of an unmixed sparse system of four Laurent polynomials in three variables with arbitrary support. This follows earlier work by the author on exact formulas for bivariate systems and also uses the exterior algebra techniques of Eisenbud and Schreyer. Along the way we will prove an interesting new vanishing theorem for the sheaf cohomology of divisors on toric varieties. This will also allow us to describe some supports in four or more variables for which determinantal formulas for the resultant exist.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Amit Khetan,