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Establishing the Polynomial Wolff Axioms for $δ$-Separated $δ$-Tubes With #o-minimality
We establish the full version of a conjecture of Guth and Zahl, giving a lower bound for the volume of a semialgebraic set that has a large intersection with a collection of $δ$-separated $δ$-tubes. Our proof uses o-minimal methods to simplify the proof of Katz and Rogers, who proved the conjecture
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