Restriction for homogeneous polynomial surfaces in ℝ³

Carbery, A.; Kenig, C.; Ziesler, S.

doi:10.1090/S0002-9947-2012-05685-6

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Restriction for homogeneous polynomial surfaces in $\mathbb{R}^3$

Authors: A. Carbery, C. E. Kenig and S. N. Ziesler
Journal: Trans. Amer. Math. Soc. 365 (2013), 2367-2407
MSC (2010): Primary 42B99
Posted: November 6, 2012
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Abstract: We prove an optimal restriction theorem for an arbitrary homogeneous polynomial hypersurface (of degree at least 2) in $\mathbb{R}^3,$ with affine curvature introduced as a mitigating factor.

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