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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Common roots to "independent" equations $P_1(x) = Q_1(y)$ and $P_2(x) = Q_2(y)$ in $\mathbb{...

The bound $d^2$ is, indeed, correct. It follows from Bézout's theorem, see here. In your case, affine plane curves are exactly $A$ and $B$, the condition on common divisor is the lack of common compon …
Alexander Kalmynin's user avatar