منابع مشابه
Equivariant vector bundles on the Lubin - Tate moduli space
We discuss the first author's Picard groups of stable homo-topy. We give s. detailed description of the calculation of PiC!, and go onto describe geometric constructions for lifts of the elements of Pic!. Wealso construct a 15 cell complex that localizeil to what we speculate is aninteresting element ofPk2 •For all n we describe an algebraic approxllna-tion to Picn u...
متن کاملLubin-Tate Theory
Motivation: We seek to understand the stable homotopy category by understanding the structure of the moduli stack of formal groups. Over algebraically closed fields, this is straightforward. If char(k) = 0, every formal group law is isomorphic to the additive one and we’ve described the group of automorphisms (coordinates changes) before. If char(k) = p > 0 every formal group law is classified ...
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Using Lubin-Tate groups, we develop a variant of Fontaine’s theory of (φ,Γ)-modules, and we use it to give a description of the Galois stable lattices inside certain crystalline representations.
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Let K be an imaginary quadratic field of class number 1 and let E be an elliptic curve over K with complex multiplication in the ring of integers OK of K. Let ψ be the Grössencharacter of K associated to E and let p be an odd prime over which E has good reduction. In [Kato93], K. Kato defined the zeta element which is, roughly speaking, a compatible system in the Galois cohomology of abelian ex...
متن کاملGalois Extensions of Lubin-tate Spectra
Let En be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra E n whose coefficients are built from the coefficients of En and contain all roots of unity whose order is not divisible by p. For odd primes p we show that E n does not have any non-trivial connected finite Galois extensions and is thus separably closed in the sense of Rognes. At the prime 2 we prove that the...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2011
ISSN: 0040-8735
DOI: 10.2748/tmj/1309952087