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

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...

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 rings...

with the Poitou–Tate duality, the Tate–Shafarevich group, and relations with algebraic K-theory. With Jonathan Lubin, he recast local class field theory...

degree 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...

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...

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

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

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...

John Tate. Néron defined the Néron–Tate height as a sum of local heights. Although the global Néron–Tate height is quadratic, the constituent local heights...

Pontryagin duality of finite groups. For local and global fields, similar statements exist (local duality and global or Poitou–Tate duality). Adjoint functor...

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...

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

the Pontryagin duality type, rather than needing more general automorphic representations. That reflects a good understanding of their Tate modules as Galois...

integration over ideles and duality of adeles; this method was also independently obtained by John Tate and is sometimes called Iwasawa–Tate theory. Iwasawa spent...

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...

relative inexplicitness. As the result of local contributions by Bernard Dwork, John Tate, Michiel Hazewinkel and a local and global reinterpretation by Jürgen...

the notion of Tate vector spaces, is given by Clausen (2009). Altman, Allen; Kleiman, Steven (1970), Introduction to Grothendieck duality theory, Lecture...

other major development of the theory, also involving John Tate was the Tate–Poitou duality result. Technically speaking, G may be a profinite group, in...

S. Milne, "Duality in the flat cohomology of curves", Inventiones Mathematicae, Volume 35, Number 1, December, 1976 Arithmetic Duality Theorems (PDF)...

Terry Melcher but Tate's friend, Jay Sebring, says Melcher has moved. Later, Tate watches herself in The Wrecking Crew at a local film theater, and Booth...

In mathematics, a Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts...

functional equations for the local zeta-functions, arising at a fundamental level for the (analogue of) Poincaré duality in étale cohomology. The Euler...

D_{Y}(f_{*}M)\cong f_{!}(D_{X}(M)).} Coherent duality Grothendieck local duality Image functors for sheaves Verdier duality Change of rings Gallauer, Martin (2021)...

local constants ε(ρv, s, ψv) associated to primes v. Tate proved the existence of the local constants in the case that ρ is 1-dimensional in Tate's thesis...

plaza is situated on the Sha Tin side, leading to Tate's Cairn Highway, Sha Lek Highway and various local roads. The tunnel joins the Kwun Tong Bypass and...

(2009). "Notes on derived categories and Grothendieck duality" (PDF). Foundations of Grothendieck Duality for Diagrams of Schemes. Lecture Notes in Mathematics...

(1909). Aspinwall, Paul (1996), "K3 surfaces and string duality", Fields, strings and duality (Boulder, CO, 1996), World Scientific, pp. 421–540, arXiv:hep-th/9611137...

at the 1976 Olympics in Montreal, which ended up with victories over John Tate and Mircea Șimon. After losing to Vysotsky for a second time he said, "Nobody...