Polynomial Wolff axioms and Kakeya-type estimates in R4
Polynomial Wolff axioms and Kakeya-type estimates in R4
We establish new linear and trilinear bounds for collections of tubes in R 4 that satisfy the polynomial Wolff axioms. In brief, a collection of δ-tubes satisfies the Wolff axioms if not too many tubes can be contained in the δ-neighborhood of a plane. A collection of tubes satisfies the …