Let $q_1$ and $q_2$ be two irreducible quadratic homogeneous polynomials in $\mathbb{C}[x_0, \ldots, x_n]$.
Consider the ideal $\langle q_1, q_2 \rangle$.
When this ideal is prime?
I am interesting in necessary or sufficient conditions.
$\begingroup$
$\endgroup$
1
-
$\begingroup$ the resultant of $q_1$ and $q_2$ w.r.t. any $x_j$ should be irreducible, I gather, otherwise the ideal would not be prime... $\endgroup$– Dima PasechnikCommented Jul 5, 2018 at 12:46
Add a comment
|