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More generally there is a similar Weil pairing between points of order n of an abelian variety and its dual. It was introduced by André Weil for Jacobians of curves, who gave an abstract algebraic definition; the corresponding results for elliptic functions were known, and can be expressed simply by use of the Weierstrass sigma function.
In mathematics, the Weil conjectures were highly influential proposals by André Weil . They led to a successful multi-decade program to prove them, in which many leading researchers developed the framework of modern algebraic geometry and number theory .
Weil was born in Philadelphia, on June 8, 1942, [4] the only child of parents who operated a millinery store, [4] in a family that was Reform Jewish. [5] He graduated from high school in 1959, and was awarded a scholarship from the American Association for the United Nations, [4] giving him the opportunity to go abroad for a year, during which he lived with families in India, Thailand, and ...
The Weil conjectures about zeta functions of varieties over finite fields, proved by Dwork, Grothendieck, Deligne and others. The Taniyama–Shimura–Weil conjecture about elliptic curves, proved by Wiles and others. The Weil conjecture on Tamagawa numbers about the Tamagawa number of an algebraic group, proved by Kottwitz and others.
Simone Adolphine Weil (/ v eɪ / VAY; [10] French: [simɔn adɔlfin vɛj]; 3 February 1909 – 24 August 1943) was a French philosopher, mystic and political activist.Since 1995, more than 5,000 scholarly works have been published about her, including close analyses and readings of her work.
Dr. Weil’s Anti-Inflammatory Diet isn’t meant to be a short-term solution, explains Cara Harbstreet, R.D., L.D., founder of Street Smart Nutrition. “It’s a nourishing way of eating, but ...
Adequality is a technique developed by Pierre de Fermat in his treatise Methodus ad disquirendam maximam et minimam [1] (a Latin treatise circulated in France c. 1636 ) to calculate maxima and minima of functions, tangents to curves, area, center of mass, least action, and other problems in calculus.
corresponding (using the interpretation of elements in the second group cohomology as central extensions) to the fundamental class u E/F in H 2 (Gal(E/F), A F). The Weil group of the whole formation is defined to be the inverse limit of the Weil groups of all the layers G/F, for F an open subgroup of G.