We relate a part of the abelian étale fundamental group of curves over local fields to the component group of the Néron model of the jacobian. We apply the result to the modular curve X0(p)/Qp to show that the unramified abelian covering X1(p) → X0(p) (Shimura covering) uses up all the possible ramification over the special fiber of X0(p).

ABSTRACT Compact binaries such as double neutron stars or a star paired with black hole, are strong sources of gravitational waves during coalescence and also the likely progenitors various electromagnetic phenomena, notably short-duration gamma-ray bursts (SGRBs), kilonovae. In this work, we generate populations synthetic place them in galaxies from large-scale hydrodynamical galaxy evolution ...

We investigate the impact of a non-financial background risk ε̃ on the preference rankings between two independent financial risks z̃1 and z̃2 for an expected-utility maximizer. More precisely, we provide necessary and sufficient conditions for the alternative (x0 + z̃1, y0 + ε̃) to be preferred to (x0 + z̃2, y0 + ε̃) whenever (x0 + z̃1, y0) is preferred to (x0 + z̃2, y0). Utility functions that preserv...

In this paper, we prove the Spanne-Guliyev type boundedness of the generalized fractional integral operator Iρ from the vanishing generalized local Morrey spaces V LM {x0} p,φ1 to V LM {x0} q,φ2 , 1 < p < q < ∞, and from the space V LM {x0} 1,φ1 to the weak space VWLM {x0} q,φ2 , 1 < q < ∞. We also prove the Adams-Guliyev type boundedness of the operator Iρ from the vanishing generalized Morrey...

Denoising has to do with estimating a signal x0 from its noisy observations y = x0 + z. In this paper,we focus on the “structured denoising problem”, where the signal x0 possesses a certain structure and zhas independent normally distributed entries with mean zero and variance σ. We employ a structure-inducing convex function f(·) and solveminx{ 12‖y − x‖ 22 + σλf(x)...

Large classes of signals exhibit a very irregular behavior. In the most complicated situations this irregular behavior may follow different regimes, and can switch from one regime to another almost instantaneously. This is obviously the case for recordings of speech signals; precise recordings of turbulence data (which became available at the beginning of the 80’s) show that turbulence also fal...

The subset X0 = [sequence: see text] of 20 trinucleotides has a preferential occurrence in frame 0 (a reading frame established by the ATG start trinucleotide) of protein (coding) genes of both prokaryotes and eukaryotes. This subset X0++ has the rarity property (6 x 10(-8)) to be a complementary maximal circular code with two permutated maximal circular codes X1 and X2 in frames 1 and 2 respec...

Suppose X is a smooth, proper, geometrically connected curve over Fq with an Fq-rational point x0. For any Fq×-character σ of π1(X) trivial on x0, we construct functor Lnσ from the derived category coherent sheaves moduli space deformations Witt ring Wn(Fq) to constructible Wn(Fq)-sheaves Jacobian X. The functors categorify Artin reciprocity map for geometric class field theory p-torsion coeffi...

In this paper, we first introduce a simulator of cases estimates incurred losses, called `SPLICE` (Synthetic Paid Loss and Incurred Cost Experience). three modules, case are simulated in continuous time, record is output for each individual claim. Revisions the also as sequence over lifetime claim, number different situations. Furthermore, some dependencies relation to losses incorporated, part...

We present a new and interesting extension theorem for concave operators as follows. Let X be a real linear space, and let Y,K be a real order complete PL space. Let the setA ⊂ X × Y be convex. Let X0 be a real linear proper subspace of X, with θ ∈ AX −X0 , where AX {x | x, y ∈ A for some y ∈ Y}. Let g0 : X0 → Y be a concave operator such that g0 x ≤ z whenever x, z ∈ A and x ∈ X0. Then there e...