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We introduce and study the notion of Taylorian points of algebraic curves in C 2 , which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a wellbehaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.doi:10.2422/2036-2145.2008.3.06 fatcat:gbfsowxd5vdr3fyukqejv2fuqy