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On polar Cremona transformations. (English) Zbl 1033.14010
From the introduction: In this note we discuss the topology of the gradient rational map \(\text{grad} (f)\colon {\mathbb P}^n\to {\mathbb P}^n\) associated with any non-zero homogeneous polynomial \(f\in {\mathbb C}[x_0, \dots, x_n]\). Such mappings were recently considered by I. V. Dolgachev [ Mich. Math. J. 48, Spec. Vol., 191–202 (2000; Zbl 1080.14511)]”.

MSC:
14E07 Birational automorphisms, Cremona group and generalizations
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