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The number of connected components of a level surface of a harmonic polynomial. (English. Russian original) Zbl 1204.14027
Russ. Math. Surv. 65, No. 4, 783-784 (2010); translation from Usp. Mat. Nauk 65, No. 4, 197-198 (2010).
From the text: We aim to improve upon the estimates in [V. N. Karpushkin, Math. Notes 62, No. 6, 697–700 (1997); translation from Mat. Zametki 62, No. 6, 831–835 (1997; Zbl 1033.14035)] for the number of connected components of a level surface of a harmonic polynomial of degree \(m\) in \(\mathbb R^{n+1}\) \((n\geq 1)\).
MSC:
14P25 Topology of real algebraic varieties
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