In mathematics, the Abel–Jacobi map is a construction of algebraic geometry which relates an algebraic curve to its Jacobian variety. In Riemannian geometry...

cover. Definition: The Jacobi variety (Jacobi torus) of M is the torus J1(M)= H1(M,R)/H1(M,Z)R Definition: The Abel–Jacobi map A M : M → J 1 ( M ) , {\displaystyle...

in rivalry with Carl Jacobi, an important work on elliptic functions in Astronomische Nachrichten in Altona. While in Paris, Abel contracted tuberculosis...

Wilhelm Bessel Jacobi logarithm Last geometric statement of Jacobi List of things named after Carl Gustav Jacob Jacobi Niels Henrik Abel His given name...

given fairly explicitly, in terms of Riemann theta functions and the Abel–Jacobi map of the surface. All compact Riemann surfaces are algebraic curves since...

the framework of tropical geometry. A tropical counterpart of the Abel–Jacobi map can be applied to a crystal design. The weights in a weighted finite-state...

Abel–Plana formula Abel function Abel's integral equation Abel's identity Abel's inequality Abel's irreducibility theorem Abel–Jacobi map Abel–Jacobi...

generalization to Riemann surfaces of positive genus exists, using the Abel–Jacobi map and theta functions. Hilbert metric A theorem on the anharmonic ratio...

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as...

after Carl Gustav Jacobi, who proved the complete version of the Abel–Jacobi theorem, making the injectivity statement of Niels Abel into an isomorphism...

cycle map from the Chow ring to ordinary cohomology factors through a richer theory, Deligne cohomology. This incorporates the Abel–Jacobi map from cycles...

a Sloan Fellow. In 1998 he was an Invited Speaker with talk Higher Abel-Jacobi Maps at the ICM in Berlin. He is a member of The Mathematical Sciences 2025...

Sunada and Motoko Kotani as a graph-theoretic version of Albanese maps (Abel-Jacobi maps) in algebraic geometry. For his work, see also Isospectral, Reinhardt...

Niels Henrik Abel, Abel-Jacobi map 1827 Inversion of elliptic integrals independently by Abel and Carl Gustav Jacob Jacobi 1829 Jacobi, Fundamenta nova...

referred to simply as the Jacobian. They are named after Carl Gustav Jacob Jacobi. The Jacobian matrix is the natural generalization to vector valued functions...

studied by Legendre, whose work was taken on by Niels Henrik Abel and Carl Gustav Jacobi. Abel discovered elliptic functions by taking the inverse function...

{Alb} V=(\operatorname {Pic} _{0}V)^{\vee }.} For algebraic curves, the Abel–Jacobi theorem implies that the Albanese and Picard varieties are isomorphic...

who later became either dreams or nightmares. Cain and Abel are based on the Biblical Cain and Abel, adapted by editor Joe Orlando with Bob Haney (writer)...

higher degree, say quintics, what would happen? In the work of Niels Abel and Carl Jacobi, the answer was formulated: this would involve functions of two complex...

2007) October 18 – Dawn Wells, American actress (d. 2020) October 22 Derek Jacobi, English actor and director Christopher Lloyd, American actor October 29...

Maps by Reland [dead link] Complete bibliography on WorldCat Hadriani Relandi Analecta Rabbinica. Trajecti ad Rhenum [= Utrecht], Ex libraria Jacobi à...

characteristic to the Gaussian curvature. Investigations of Niels Henrik Abel and Carl Gustav Jacobi on inversion of elliptic integrals in the first half of 19th...

Classical orthogonal polynomials Hermite polynomials Laguerre polynomials Jacobi polynomials Gegenbauer polynomials Legendre polynomials Euclidean space...

Horror". First Showing. Retrieved June 12, 2025. "One summer, one love. The Map That Leads to You premieres August 20". Instagram. Retrieved July 14, 2025...

independence and government (d. 1844) April 10 – Carl Wigand Maximilian Jacobi, German psychiatrist (d. 1858) April 12 Christian Samuel Theodor Bernd,...

this map from sphere to cube is convenient for atmospheric modeling. Elliptic function Abel elliptic functions Dixon elliptic functions Jacobi elliptic...

results on elliptic functions were published by Carl Gustav Jakob Jacobi and Niels Henrik Abel in 1827. Bianchi group Classical modular curve Fuchsian group...

(3th order), Jacobi in 1829 (5th order), Sohncke in 1837 (7th and other orders). In a letter to Bessel from 1828, Gauss commented: "Mr. Abel has [...] anticipated...

P. Semal; L. Slimak; J. Soler; N. Soler; A. Villaluenga; R. Pinhasi; R. Jacobi; et al. (2014). "The timing and spatiotemporal patterning of Neanderthal...

PMID 22048311. S2CID 205226924. Higham, T.; Compton, T.; Stringer, C.; Jacobi, R.; Shapiro, B.; Trinkaus, E.; Chandler, B.; Gröning, F.; Collins, C.;...