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Osculating spaces and diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier)

Osculating spaces and diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier)

Abstract This paper deals with some classical problems about the projective geometry of complex algebraic curves. We call locally toric a projective curve that in a neighbourhood of every point has a local analytical parametrization of type \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$(t^{a_1},\dots ,t^{a_n})$\end{document} , with a 1 , …, a n relatively prime positive …