Computing $A$-resultants via direct images

Fuente: arXiv
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Hauptverfasser: Groh, Friedemann, Zach, Matthias
Format: Preprint
Veröffentlicht: 2026
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author Groh, Friedemann
Zach, Matthias
author_facet Groh, Friedemann
Zach, Matthias
contents We improve a previously known theoretic method to compute A-resultants for suitable monomial support sets due to Weyman to the extent that it becomes computationally feasible and effective. This is achieved by introducing a new algorithm for the computation of direct images of complexes of coherent sheaves on toric varieties. The procedure does not rely on Gröbner basis computations at any stage.
format Preprint
id arxiv_https___arxiv_org_abs_2602_14657
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Computing $A$-resultants via direct images
Groh, Friedemann
Zach, Matthias
Algebraic Geometry
Commutative Algebra
14J99 13-04 13D45 13P15 68W30 13P20 18F99 32L10
We improve a previously known theoretic method to compute A-resultants for suitable monomial support sets due to Weyman to the extent that it becomes computationally feasible and effective. This is achieved by introducing a new algorithm for the computation of direct images of complexes of coherent sheaves on toric varieties. The procedure does not rely on Gröbner basis computations at any stage.
title Computing $A$-resultants via direct images
topic Algebraic Geometry
Commutative Algebra
14J99 13-04 13D45 13P15 68W30 13P20 18F99 32L10
url https://arxiv.org/abs/2602.14657