Integral relations for pointed curves in a real projective plane |
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Authors: | Roberto Pignoni |
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Institution: | (1) Dip. di Matematica Guido Castelnuovo, Università La Sapienza di Roma, P. le A. Moro n.2, 00185 Roma, Italy |
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Abstract: | We study some global projective properties of real plane curves with cusps, beaks and normal crossings. Starting from Fabricius-Bjerre's formula on the singularities of a curve in an affine plane, we describe its extension to a projective setting. Given a curve RP2, by fixing a base point we associate some indices to its singularities and double tangents. We prove two global relations linking these entities together. |
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