## 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:

 1.4e+08 Birational automorphisms, Cremona group and generalizations

### Keywords:

gradient rational map; polar Cremona transformations

Zbl 1080.14511
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