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On the polar degree of projective hypersurfaces. (English) Zbl 1257.14010
The authors give new, algebro-geometric proofs based on foliations for some formulas for the degree of the polar map of a projective hypersurface. In the case of plane curves, they extend results due to I. Dolgachev (for degree one) by listing all the curves with polar degree up to 3.

MSC:
14E05 Rational and birational maps
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
37F75 Dynamical aspects of holomorphic foliations and vector fields
Software:
CSM-A; Macaulay2
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