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arXiv · 2610.17752

Cone restriction via direction-restricted two-ends Furstenberg estimates

Xiangyu Wang
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Abstract

We investigate a direct two-ends approach to restriction for the truncated cone in $\R^n$, which gives the diagonal restriction range \[ p>2+\frac{4(7n+15)}{11n^2-n-24},\qquad n\ge10. \] This improves the range obtained by applying the result of Wang--Wu and then slicing.

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Xiangyu Wang. 2026-10-13. Cone restriction via direction-restricted two-ends Furstenberg estimates. https://arxiv.org/abs/2610.17752

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