Cartier duality information

In mathematics, Cartier duality is an analogue of Pontryagin duality for commutative group schemes. It was introduced by Pierre Cartier (1962). Given any...

are replaced by discs of positive radius. Cartier duality is a scheme-theoretic analogue of Pontryagin duality taking finite commutative group schemes to...

In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which...

algebra A over a commutative ring R, then the Cartier dual G D {\displaystyle G^{D}} is the Spec of the dual R-module of A. Nicolas Bourbaki (1974). Algebra...

In general - for all n - the n-torsion group schemes of dual abelian varieties are Cartier duals of each other. This generalizes the Weil pairing for elliptic...

black Cartier badge on the trunk-lid. Furthermore, the Cartier received 16-inch "Cartier" chrome wheels. Like the Signature Touring Sedan, dual exhaust...

In general - for all n - the n-torsion group schemes of dual abelian varieties are Cartier duals of each other. This generalises the Weil pairing for elliptic...

field of nonzero characteristic p. For finite group schemes it is the Cartier dual of the Frobenius homomorphism. It was introduced by Witt (1937) as the...

Ωn of top-degree differential forms. Using the canonical bundle, Serre duality takes the same form for Gorenstein schemes as it does for smooth schemes...

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

another interview with Billboard about the idea of duality on the album: Cartier said: I just find that duality is a constant thing that everyone goes through...

accent paint between the spokes, except on Collector's Series, and the Cartier, Bill Blass, and Givenchy Designer Series - where these models would be...

to as Highway 401 and also known by its official name as the Macdonald–Cartier Freeway or colloquially referred to as the four-oh-one, is a controlled-access...

modelling, and worked as a brand ambassador for luxury brands such as Cartier and Dior. Some media outlets have labelled Bellucci a sex symbol. Bellucci...

major importance in expressing the duality theory of abelian varieties in characteristic p (theory of Pierre Cartier). The Galois cohomology of this group...

prominent federal politicians with double mandates included George-Étienne Cartier, Christopher Dunkin, Hector Langevin, the second Premier of British Columbia...

region used the word to direct French explorer Jacques Cartier to the village of Stadacona. Cartier later used the word Canada to refer not only to that...

integral schemes the Picard group is isomorphic to the class group of Cartier divisors. For complex manifolds the exponential sheaf sequence gives basic...

with contact sheets sent into the Magnum office by founding member Henri Cartier-Bresson fascinated Morath. "I think that in studying his way of photographing...

founded by the order of Francis I of France. In 1534, Francis sent Jacques Cartier to explore the St. Lawrence River in Quebec. Paris  Gabon Africa 17 August...

Dekker, ISBN 978-0-8247-0481-0, Zbl 0962.16026. Cartier, Pierre (2007), "A Primer of Hopf Algebras", in Cartier, P.; Moussa, P.; Julia, B.; Vanhove, P. (eds...