22,825 research outputs found
Domains of Injectivity for the Gross-Hopkins Period Map
We determine the domain of injectivity of the Gross-Hopkins Period map around
each points in the deformation space for a fixed formal module of
height 2 that defined over a finite field. And then we will use this to
conclude some local analyticity result of the group action for the automorphism
group of on the deformation space.Comment: This second version provides a totally different approach to the
question. This theoretic approach uses arguments as in Lubin-Tate theory and
relates the structure of the fiber of the Period map with quasi-isogenies. In
the first version, the Newton's Polygon of the local Taylor series expansion
is determined. And we add some local analyticity results to second versio
Information and Communication Technologies and Informal Scholarly Communication: A Review of the Social Oriented Research
This article reviews and analyzes findings from research on computer mediated informal scholarly communication. Ten empirical research papers, which show the effects and influences of information & communication technologies (ICTs), or the effects of social contexts on ICTs use in informal scholarly communication, were analyzed and compared. Types of ICTs covered in those studies include e-mails, collaboratories, and electronic forums. The review shows that most of the empirical studies examined the ICTs use effects or consequences. Only a few studies examined the social shaping of ICTs and ICT uses in informal scholarly communication. Based on comparisons of the empirical findings this article summarizes the ICT use effects/consequences as identified in the studies into seven categories and discusses their implications
Spectral function and fidelity susceptibility in quantum critical phenomena
In this paper, we derive a simple equality that relates the spectral function
and the fidelity susceptibility , i.e. with being
the half-width of the resonance peak in the spectral function. Since the
spectral function can be measured in experiments by the neutron scattering or
the angle-resolved photoemission spectroscopy(ARPES) technique, our equality
makes the fidelity susceptibility directly measurable in experiments.
Physically, our equality reveals also that the resonance peak in the spectral
function actually denotes a quantum criticality-like point at which the solid
state seemly undergoes a significant change.Comment: 5 pages, 2 figure
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