hyperelliptic functions

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• Hyperelliptic curve — In algebraic geometry, a hyperelliptic curve (over the complex numbers) is an algebraic curve given by an equation of the form:y^2 = f(x)where f(x) is a polynomial of degree n > 4 with n distinct roots. A hyperelliptic function is a function from …   Wikipedia

• hyperelliptic — adjective Describing an extension of elliptic functions to complex numbers …   Wiktionary

• Jacobi, Carl — ▪ German mathematician in full  Carl Gustav Jacob Jacobi  born December 10, 1804, Potsdam, Prussia [Germany] died February 18, 1851, Berlin       German mathematician who, with Niels Henrik Abel (Abel, Niels Henrik) of Norway, founded the theory… …   Universalium

• Jacobi , Karl Gustav Jacob — (1804–1851) German mathematician Jacobi was born at Potsdam, in Germany. After studying in Berlin, he became a lecturer at Königsberg where he managed to attract the favorable attention of Karl Friedrich Gauss. He was a superb teacher and had an… …   Scientists

• Adolph Göpel — (born in Rostock on September 29, 1812; died in Berlin on June 7, 1847) was a German mathematician who did the first paper on hyperelliptic functions. Life and work His uncle was a diplomat so he attended his first mathematical lectures in Italy… …   Wikipedia

• Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… …   Wikipedia

• Enriques-Kodaira classification — In mathematics, the Enriques Kodaira classification is a classification of compact complex surfaces. For complex projective surfaces it was done by Federigo Enriques, and Kunihiko Kodaira later extended it to non algebraic compact surfaces. It… …   Wikipedia

• Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

• Enriques–Kodaira classification — In mathematics, the Enriques–Kodaira classification is a classification of compact complex surfaces into ten classes. For each of these classes, the surfaces in the class can be parametrized by a moduli space. For most of the classes the moduli… …   Wikipedia

• Carl Gustav Jacob Jacobi — Carl Jacobi Carl Gustav Jacob Jacobi Born December 10, 1804(1804 …   Wikipedia

• Abelian variety — In mathematics, particularly in algebraic geometry, complex analysis and number theory, an Abelian variety is a projective algebraic variety that is at the same time an algebraic group, i.e., has a group law that can be defined by regular… …   Wikipedia