# Questions tagged [resultants]

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### Application of Resultant in Computer Algebra [closed]

Can you guys give me some application of resultant in Computer Algebra, it will be amazing if you guys can give me some paper or book to read more. Thanks so much
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### Dimension of the set of singular hypersurfaces

Let $N$ be the number of degree $d$ monomials in $n$ variables. We can then view each non-zero point in $\mathbb{A}^N_k$ as a degree $d$ homogeneous form, $k$ an algebraically closed field. Let $X$ be ...
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1 vote
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### Expression for the single common root

Let $\mathbb{F}$ be a field, consider the polynomial ring $\mathbb{F} \left[ x\right]$ and suppose that the polynomials $f,g \in \mathbb{F} \left[ x\right]$ have degrees $2,2^n$, respectively, ...
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### Methods for multivariate polynomial equations over large finite fields

I am trying to get a rough overview of the best methods one might use to find solutions of multivariate polynomial equations over large finite fields. We can suppose for simplicity that the given ...
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1 vote
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### Solutions to a certain Birkhoff-interpolation problem

$\newcommand{\CC}{\mathbb{C}}$ Let for $n > 1$ and $m = n-1$ $$p = x^n + a_1 x^{n-1} + \cdots + a_m x$$ be a polynomial with $a_i \in \CC$. Call $p^{(i)}(x) = \frac{d^ip}{dx^i}(x)$. The ...
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