3 problems

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The affine-bound conjecture for the strong Artin function
The strong Artin approximation theorem concerns a function measuring how accurately an approximate solution of a system of polynomial equations must solve the equations in order to…
Conjectureopenartin-approximation singularity-theoryarXiv posted 2 days ago
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The Linear Artin Approximation Theorem
Linear Artin Approximation Theorem. Then the system has a true solution $\underline{U}$ such that
Conjectureopenartin-approximation commutative-algebra local-ringsarXiv posted 2 days ago
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Artin's conjecture on approximation over excellent Henselian local rings
Artin's approximation conjecture. If $A$ is an excellent Henselian local ring, then $A$ has the Artin Approximation Property.
Conjectureopenartin-approximation commutative-algebra henselian-ringsarXiv posted 2 days ago

The affine-bound conjecture for the strong Artin function