Geodesic
Differential geometry ``in the large'' of plane algebraic curves and integral formulas for invariants of singularities
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 255-268

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We generalize the Plücker formula for the number of inflection points of a complex projective curve and derive a formula for the number of sextatic points of such a curve. We also obtain an upper estimate for the number of vertices of a real algebraic curve. The proof uses a new result related with integration on the Euler characteristic. Bibl. 5 titles. 
@article{ZNSL_1995_231_a17,
     author = {A. O. Viro},
     title = {Differential geometry ``in the large'' of plane algebraic curves and integral formulas for invariants of singularities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {255--268},
     publisher = {mathdoc},
     volume = {231},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a17/}
}
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A. O. Viro. Differential geometry ``in the large'' of plane algebraic curves and integral formulas for invariants of singularities. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 255-268. http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a17/