Výsledky vyhledávání - "Uttenthal, Å"

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Whitney extension theorems on symmetric spaces, an example

Autor: Speh, Birgit, Uttenthal, Peter Vang

H. Whitney introduced in 1934 the problem of extending a function on a set of points in $\mathbb{R}^n$ to an analytic function on the ambient space. In this article we prove Whitney type extension theorems for data on some homogeneous spaces. We use

Externí odkaz: http://arxiv.org/abs/2407.21420

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Elliptic curves and spin

Autor: Koymans, Peter, Uttenthal, Peter Vang

In the early 2000s, Ramakrishna asked the question: For the elliptic curve $$ E: y^2 = x^3 - x, $$ what is the density of primes $p$ for which the Fourier coefficient $a_p(E)$ is a cube modulo $p$? As a generalization of this question, Weston--Zaurov

Externí odkaz: http://arxiv.org/abs/2407.15644

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Level-raising of even representations of tetrahedral type and equidistribution of lines in the projective plane

Autor: Uttenthal, Peter Vang

The distribution of auxiliary primes raising the level of even representations of tetrahedral type is studied. Under an equidistribution assumption, the density of primes raising the level of an even, $p$-adic representation is shown to be $$ \frac{p

Externí odkaz: http://arxiv.org/abs/2310.14352

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Existence of $p$-adic representations and flatness of even deformation rings in balanced global settings of rank one

Autor: Uttenthal, Peter Vang

The main goal of this paper is to prove existence of $p$-adic lifts of even Galois representations in balanced global settings with dual Selmer groups of rank one, and to construct examples of even residual representations in characteristic $p=3$ for

Externí odkaz: http://arxiv.org/abs/2309.01871

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Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity

Autor: Uttenthal, Peter Vang

This paper concerns the distribution of Selmer ranks in a family of even Galois representations in even residual characteristic obtained by allowing ramification at auxiliary primes. The main result is a Galois cohomological analogue of a theorem of

Externí odkaz: http://arxiv.org/abs/2301.09760

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