The resultants of quadratic binomial complete intersections
Tadahito Harima, Akihito Wachi, Junzo Watanabe
TL;DR
This paper computes the resultants for quadratic binomial complete intersections and demonstrates that their generators can be expressed with a basis of square-free monomials in a normal form.
Contribution
It provides explicit calculations of resultants for quadratic binomial complete intersections and establishes a normal form for their generators.
Findings
Resultants for quadratic binomial complete intersections are explicitly computed.
Generators can be expressed with a basis of square-free monomials in a normal form.
The normal form simplifies understanding the structure of these intersections.
Abstract
We compute the resultants for quadratic binomial complete intersections. As an application we show that any quadratic binomial complete intersection can have the set of square-free monomials as a vector space basis if the generators are put in a normal form.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Tensor decomposition and applications