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arxiv: 1810.00895 · v1 · pith:4E5VSHJJnew · submitted 2018-10-01 · 🧮 math.CV

Non-uniformly flat affine algebraic hypersurfaces

classification 🧮 math.CV
keywords hypersurfacesaffinealgebraicflatbargmann-fockexactlyexamplesexcept
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The relationship between interpolation and separation properties of hypersurfaces in Bargmann-Fock spaces over $\mathbb{C} ^n$ is not well-understood except for $n=1$. We present four examples of smooth affine algebraic hypersurfaces that are not uniformly flat, and show that exactly two of them are interpolating.

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