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arXiv · 0910.2673

Polynomials constant on a hyperplane and CR maps of hyperquadrics

Jiri Lebl·Han Peters
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Abstract

We prove a sharp degree bound for polynomials constant on a hyperplane with a fixed number of distinct monomials for dimensions 2 and 3. We study the connection with monomial CR maps of hyperquadrics and prove similar bounds in this setup with emphasis on the case of spheres. The results support generalizing a conjecture on the degree bounds to the more general case of hyperquadrics.

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Jiri Lebl, Han Peters. 2010-12-21. Polynomials constant on a hyperplane and CR maps of hyperquadrics. https://arxiv.org/abs/0910.2673

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