Fassarella, Thiago; Medeiros, Nivaldo On the polar degree of projective hypersurfaces. (English) Zbl 1257.14010 J. Lond. Math. Soc., II. Ser. 86, No. 1, 259-271 (2012). 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. Reviewer: Alexandru Dimca (Nice) Cited in 11 Documents 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 Keywords:polar degree; projective hypersurfaces; homaloidal polynomial; plane curves Software:Macaulay2; CSM-A PDFBibTeX XMLCite \textit{T. Fassarella} and \textit{N. Medeiros}, J. Lond. Math. Soc., II. Ser. 86, No. 1, 259--271 (2012; Zbl 1257.14010) Full Text: DOI arXiv