# Algebraic curve

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Translations
curva algebrica
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The conic h(x, y) = [x.sup.2] + [cy.sup.2] -1 = 0, c [member of] R, is an invariant algebraic curve of system (1).
If a(S) = 1, there is an algebraic reduction of S, a fibration [PI] : S [right arrow] B such that B is an algebraic curve and such that any meromorphic function on S is the pullback by n of an algebraic function on B.
Under this mapping, a ruling of a regulus corresponds to an algebraic curve in [R.sup.4].
The condition that an algebraic curve is invariant is in particular a condition of tangency, i.e.
As singular points of an algebraic curve are the solutions of a polynomial system, most of algorithms in [10-15] solve the polynomial system either by Grobner basis method described in  or by resultant computation.
Teillaud, "The offset to an algebraic curve and an application to conics," in Proceedings of the International Conference on Computational Science and Its Applications (ICCSA '05), pp.
Mikhalkin [Mik05, Theorem 1] one can replace the algebraic curve count in [CP.sup.2] by an enumeration of certain tropical curves.
We study the local dynamics of maps f(z) = - z - [[SIGMA].sup.[infinity].sub.n=1] [alpha]n [z.sup.n+1], where f (z) is an irreducible branch of the algebraic curve
In this paper, I investigate the algebraic curve defined by the relation
In this section we prove that the complement of 3 generic quadrics, or of any 4 generic curves other than 4 lines, does not contain nonconstant entire curves contained in an algebraic curve. Because of Corollary 3.1 this can be regarded as a statement of 'algebraic' hyperbolicity.

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