Results 71 to 80 of about 545 (160)
On nilpotent extensions of $\infty$-categories and the cyclotomic trace
, 2020 We do three things in this paper: (1) study the analog of localization sequences (in the sense of algebraic $K$-theory of stable $\infty$-categories) for additive $\infty$-categories, (2) define the notion of nilpotent extensions for suitable $\infty$-categories and furnish interesting examples such as categorical square-zero extensions, and (3) use (1)
Elmanto, Elden, Sosnilo, Vladimir
openaire +2 more sources
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley +1 more source
The cyclotomic BMW algebra associated with the two string type B braid group
, 2011 The cyclotomic Birman–Murakami–Wenzl (or BMW) algebras ??kn, introduced by R. Häring–Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki–Koike, in the same way as the BMW algebras are extensions of the Iwahori–Hecke algebras of type A. In
Yu, S.H., Wilcox, S.
core +1 more source
Homomorphisms of Global Solvably Closed Galois Groups Compatible with Cyclotomic Characters [PDF]
, 2021 In the present paper, we study a continuous open homomorphism between the Galois groups of solvably closed Galois extensions of number fields. We prove that a continuous open homomorphism between the Galois groups of solvably closed Galois extensions of ...
HOSHI, Yuichiro
core
On Galois groups of abelian extensions over maximal cyclotomic fields
, 2008 We shall consider the maximal cyclotomic extension of a finite algebraic number field and its two abelian extensions, the maximal abelian extension and the maximal abelian extension with certain restricted ramification. We shall investigate the structure
Asada, Mamoru
core
On a Normal Integral Basis Problem over Cyclotomic Zp-extensions, II
, 2002 Let p be an odd prime number, K an imaginary abelian field with ζp∈K×, and K∞/K the cyclotomic Zp-extension with its nth layer Kn. In the previous paper, we showed that for any n and any unramified cyclic extension L/Kn of degree p, LKn+1/Kn+1 does have ...
Ichimura, Humio
core +1 more source
Heuristics for anti-cyclotomic $\mathbb{Z}_p$-extensions
, 2023 This paper studies Iwasawa invariants in anti-cyclotomic towers. We do this by proposing two heuristics supported by computations. First we propose the Intersection Heuristics: these model `how often' the $p$-Hilbert class field of an imaginary quadratic
Kundu, Debanjana +1 more
core
Descent and cyclotomic redshift for chromatically localized algebraic K-theory
We prove that $T(n+1)$-localized algebraic $K$-theory satisfies descent for $π$-finite $p$-group actions on stable $\infty$-categories of chromatic height up to $n$, extending a result of Clausen-Mathew-Naumann-Noel for finite $p$-groups.
Yanovski, Lior +3 more
core +1 more source
, 1982 Let D be a division algebra whose class [D] is in B(K), the Brauer group of an algebraic number field K. If [D⊗KL] is the trivial class in B(L), then we say that L is a splitting field for D or L splits D.
R. A. Mollin
core +1 more source
Totally chiral maps and hypermaps of small genus
, 2009 An orientably regular hypermap is totally chiral if it and its mirror image have no non-trivial common quotients. We classify the totally chiral hypermaps of genus up to 1001, and prove that the least genus of any totally chiral hypermap is 211, attained
Jones, Gareth A. +2 more
core +1 more source