EuDML | Browse

Let $F$ be a locally compact non-Archimedean field, and let $B / F$ be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations $π^{'}$ of $B^{\times}$ of dimension $> 1$ and irreducible cuspidal representations of ${GL}_{2} (F)$ . We present a new construction of this bijection in which the preservation of epsilon factors is automatic. This is done by constructing a family of pairs $(ℒ, ρ)$ , where $ℒ \subset M_{2} (F) \times B$ is an order and $ρ$ is a finite-dimensional representation of a certain...

The local lifting problem for actions of finite groups on curves

Ted Chinburg, Robert Guralnick, David Harbater (2011)

Annales scientifiques de l'École Normale Supérieure

Let $k$ be an algebraically closed field of characteristic $p > 0$ . We study obstructions to lifting to characteristic $0$ the faithful continuous action $φ$ of a finite group $G$ on $k [[t]]$ . To each such $φ$ a theorem of Katz and Gabber associates an action of $G$ on a smooth projective curve $Y$ over $k$ . We say that the KGB obstruction of $φ$ vanishes if $G$ acts on a smooth projective curve $X$ in characteristic $0$ in such a way that $X / H$ and $Y / H$ have the same genus for all subgroups $H \subset G$ . We determine for which $G$ the KGB obstruction...

The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch).

Consani, Caterina (1999)

Documenta Mathematica

The measure-theoretical approach to $p$ -adic probability theory

Andrei Khrennikov, Shinichi Yamada, Arnoud van Rooij (1999)

Annales mathématiques Blaise Pascal

The meromorphic continuation of a zeta function of Weil and Igusa Type.

D. Meuser (1986)

Inventiones mathematicae

The minimal resultant locus

Robert Rumely (2015)

Acta Arithmetica

Let K be a complete, algebraically closed nonarchimedean valued field, and let φ(z) ∈ K(z) have degree d ≥ 2. We study how the resultant of φ varies under changes of coordinates. For γ ∈ GL₂(K), we show that the map $γ \mapsto o r d (R e s (φ^{γ}))$ factors through a function $o r d R e s_{φ} (\cdot)$ on the Berkovich projective line, which is piecewise affine and convex up. The minimal resultant is achieved either at a single point in $P ¹_{K}$ , or on a segment, and the minimal resultant locus is contained in the tree in $P ¹_{K}$ spanned by the fixed points and poles...

Currently displaying 801 – 820 of 973

Previous Page 41 Next

Displaying 801 – 820 of 973

The Hilbert pairing for formal groups over $σ$ -rings.

The Hilbert symbol for tamely ramified Abelian extension of 2-adic number fields.

The hyperadelic gamma function.

The Index of Stickelberger Ideals of Order2 and Cuspidal Class Numbers .

The Kazandzidis supercongruences. A simple proof and an application

The Krull-Schmidt theorem for Henselian rings.

The Lefschetz number of an involution on the space of classes of positive definite quadratic forms.

The L-function L3(s, ...) is entire.

The local Jacquet-Langlands correspondence via Fourier analysis

The local lifting problem for actions of finite groups on curves

The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch).

The measure-theoretical approach to $p$ -adic probability theory

The meromorphic continuation of a zeta function of Weil and Igusa Type.

The minimal resultant locus

The multiplicative group of a local skew field as Galois group.

The number of zeros of polynomials in valuation rings of complete discretely valued fields

The $p$ -adic gamma function and the congruences of Atkin and Swinnerton-Dyer

The $p$ -adic measure on the orbit of an element of $ℂ_{p}$

The $p$ -adic $Z$ -transform

The p-adic differential equation y' = wy in the closed unit disk.

Currently displaying 801 – 820 of 973