In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic...

of John Tate: Parts I and II, American Mathematical Society, (2016) Mumford–Tate group Local Tate duality Tate topology Tate vector space Tate, John Torrence...

In Galois cohomology, local Tate duality (or simply local duality) is a duality for Galois modules for the absolute Galois group of a non-archimedean...

instance, linear algebra duality corresponds in this way to bilinear maps from pairs of vector spaces to scalars, the duality between distributions and...

based on the Tate duality pairings introduced by Tate (1958, 1963) and extended by Lichtenbaum (1969). Rück & Frey (1994) applied the Tate pairing over...

Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted Poincaré duality Poitou–Tate duality Pontryagin...

trivial if the Tate–Shafarevich conjecture is true. Tate extended the pairing to general abelian varieties, as a variation of Tate duality. A choice of...

partial Tannaka duality results in the situation where the category is R-linear, where R is no longer a field (as in classical Tannakian duality), but certain...

3-Manifolds and Number Rings, arXiv:0904.3399, Bibcode:2009arXiv0904.3399M J. Tate, Duality theorems in Galois cohomology over number fields, (Proc. Intern. Cong...

In mathematics, Artin–Verdier duality is a duality theorem for constructible abelian sheaves over the spectrum of a ring of algebraic numbers, introduced...

Tate is an institution that houses, in a network of four art galleries, the United Kingdom's national collection of British art, and international modern...

In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...

mathematics, local duality may refer to: Local Tate duality of modules over a Galois group of a local field Grothendieck local duality of modules over local...

Catherine Tate (born Catherine Jane Ford, 5 December 1969) is an English actress, comedian and writer. She has won numerous awards for her work on the...

of K over Qp. The Euler characteristic can be rewritten, using local Tate duality, as χ ( G K , M ) = # H 0 ( K , M ) ⋅ # H 0 ( K , M ′ ) # H 1 ( K , M...

Tathan "Tate" Martell (born January 26, 1998) is an American former college football quarterback and wide receiver. He played college football for the...

Geoff Tate is the solo debut from Queensrÿche vocalist Geoff Tate. It was released on DVD-Audio in 2003 and DualDisc in 2004. The DualDisc edition contains...

Galois module plays a significant role in many arithmetic dualities, such as Poitou-Tate duality. The Brauer group of K {\displaystyle K} , originally conceived...

Joseph Allen Tate (born December 13, 1980) is an American politician and former professional football player from Michigan. Tate has served as a Democratic...

mule), a French crossbred mule Search for "poitou" on Wikipedia. Poitou–Tate duality, in algebraic number fields Poitou-Charentes, a former region of France...

S2CID 59500496. Geisser, Thomas H.; Schmidt, Alexander (23 August 2018). "Poitou–Tate duality for arithmetic schemes". Compositio Mathematica. 154 (9): 2020–2044....

for 43 touchdowns. Tate was a consensus 4-star recruit and named a top-ten dual threat quarterback by ESPN. On March 16, 2015, Tate committed to play college...

they navigate the rapidly changing film industry, with the threat of the Tate murders looming. Announced in July 2017, it is the first Tarantino film not...

mother's father was Jewish. His elder sister is Karin Tate, who was married to mathematician John Tate until the late 1980s. Artin did his undergraduate studies...

Donavan Reed Tate (born September 27, 1990) is an American former college football quarterback for the University of Arizona Wildcats. Previously, he was...

distance between the offensive and defensive lines being one yard. Drew Tate, a quarterback for the Calgary Stampeders, led the CFL in rushing touchdowns...

Serre's criterion (there are several of them.) Serre duality Serre–Grothendieck–Verdier duality Serre's FAC Serre fibration Serre's C-theory Serre's inequality...

loan or dual registration from Hull KR at the Rochdale Hornets in League 1, and at the Dewsbury Rams and Workington Town in the Championship. Tate was born...

In number theory and algebraic geometry, the Tate twist, named after John Tate, is an operation on Galois modules. For example, if K is a field, GK is...

(B.A. 1964) and Harvard University (Masters 1966, Ph.D. 1967 under John Tate). From then to 1969 he was a lecturer at University College London. After...