# Algebraic curve

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Translations

**curva algebrica**

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Also found in: Encyclopedia, Wikipedia.

Translations

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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.

Mikhalkin [Mik05, Theorem 1] one can replace the algebraic curve count in [CP.

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

Mathematicians from Europe and the US discuss geometry, algebraic geometry, and topology, including the basic properties of uniformly rational varieties, new relations between algebraic topology and the theory of Hopf, a measured foliated 2-complex thin type, the classical geometry of complexes, a generalization of the amoeba and the Ronkin function of a plane algebraic curve for a pair of harmonic functions, and natural differential-geometric constructions on the algebra of densities.

The critical group can also be viewed as a discrete analogue of the Picard group of an algebraic curve.

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.

Consider the complex algebraic curve (the real surface) [summation] in [C.

These papers provide a powerful method to find a presentation of the fundamental group of (the complement of) any algebraic curve C in C[P.

Topics include algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, Mordell-Weil lattices and automorphisms of hyperkahler manifolds.

Algebraic Curves and Finite Fields: Cryptography and Other Applications

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