Muñoz, VicenteSols, Ignacio2023-06-202023-06-202000E. Arrondo, I. Sols and R. Speiser, Global moduli of contacts, Arkiv för matematik, 35 1997, 1–57. M. Belghiti, Variétés des points infinitement voisins d'ordre n de points du plan, C.R. Acad. Sci. Paris, 314 Série I, 1992, 541–545. S. Colley and G. Kennedy, A higher-order contact formula for plane curves, Comm. in Algebra, 19 1991, 479–508. S. Colley and G. Kennedy, Triple and quadruple contact of plane curves, Proc. Zeuthen Symp. Contemp. Math. 123 1991, 31–559. A. Collino, Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of Hild d P 2 , Illinois Jour. Math., 32 1988, 171–210. G. Halphen, Sur la recherche des points d'une courbe algébrique plane, qui satisfont à une condition exprimée par une équation différentielle algébrique, et sur les questions analogues dans l'espace, Oeuvres, Gauthier-Villars, Paris, 1 1916, 475–542. R. Hartshorne, Algebraic geometry, Springer-Verlag, 1978.0092-787210.1080/00927870008827187https://hdl.handle.net/20.500.14352/58357Using the data schemes from [I] we give a rigorous definition of algebraic differential equations on the complex projective space P-n. For an algebraic subvariety S subset of or equal to P-n, we present an explicit formula for the degree of the divisor of solutions of a differential equation on S and give some examples of applications. We extend the technique and result to the real case.engjournal articlehttp://www.tandfonline.com/doi/pdf/10.1080/00927870008827187http://www.tandfonline.com/restricted access512Divisor of solutions of a differential equationGrassmannians of a tangent bundleIntersection numbersSchubert cyclesDivisor of solutionsPlaneÁlgebra1201 Álgebra