For a curve
C
over a perfect field
k
of characteristic
p
> 0 we study the tame cohomology of
= Spa(
C
,
k
) introduced in Hüb21. We prove that the tame cohomology groups of
with
p
-torsion ...coefficients satisfy cohomological purity (which is not true in full generality for the étale cohomology). Using purity we show Poincaré duality for the tame cohomology of
with
p
-torsion coefficients.
On arithmetic surfaces over henselian discrete valuation rings we examine whether a geometric point has a basis of étale neighborhoods whose
c
-completed étale homotopy types are of type
K
(
π
,
1
)
...with respect to a full class
c
of finite groups.
Purpose
To establish normative data for macular thickness, macular volume and peripapillary retinal nerve fibre layer (RNFL) thickness using Spectralis® spectral‐domain optical coherence tomography ...(SD‐OCT) in healthy German children and adolescents and investigate influencing factors.
Methods
The cross‐sectional study included the right eye of 695 children with at least one complete retinal OCT scan. As part of the LIFE Child study, the children underwent an ophthalmological examination including axial length (AL), spherical equivalent (SE) and OCT measurements. Various questionnaires were answered by the children or their parents to identify media use or outdoor time. Multiple linear regression models were used to investigate the potential influencing factors.
Results
A total of 342 boys and 353 girls with an average age (SD) of 12.91 (3.29) years participated. The mean AL (SD) was 23.20 (0.86) mm. The mean macular thickness (SD) was 320.53 (12.29) μm and the mean RNFL thickness (SD) was 102.88 (8.79) μm. Statistical analysis revealed a significant correlation between average macular thickness and age (p < 0.001, β = 0.77) as well as AL (p < 0.001, β = −4.06). In addition, boys had thicker maculae (p < 0.001, β = 5.36). The RNFL thickness showed no significant correlation with children's age (p > 0.05), but with AL (p = 0.002, β = −2.15), birth weight (p = 0.02, β = 0.003) and a gender‐specific effect of the body mass index standard deviation score for male participants (p = 0.02, β = 1.93).
Conclusion
This study provides normative data and correlations between macular and RNFL thickness in healthy German children. Especially age, gender and AL must be taken into account when evaluating quantitative OCT measurements to classify them as normal.
These lecture notes are based on the second course in a series of lectures at the Spring school "Non-archimedean geometry and Eigenvarieties" in March 2023 in Heidelberg. The objective of the first ...three courses was to give an introduction to the theory of adic spaces. Building up on the theory of Huber pairs presented in John Bergdall's lecture we explain the construction of adic spaces. We study some important classes of adic spaces such as rigid analytic spaces and formal schemes and show the connections between them. In the course of the lecture we will illustrate the respective concepts with the fundamental examples of the open and closed disc and the affine line.
Maternal behavior and anxiety are potently modulated by the brain corticotropin-releasing factor (CRF) system postpartum. Downregulation of CRF in limbic brain regions is essential for appropriate ...maternal behavior and an adaptive anxiety response. Here, we focus our attention on arguably the most important brain region for maternal behavior, the hypothalamic medial preoptic area (MPOA).
Within the MPOA, mRNA for CRF receptor subtype 1 (protein: CRFR1, gene: Crhr1) was more abundantly expressed than for subtype 2 (protein: CRFR2, gene: Crhr2), however expression of Crhr1, Crhr2 and CRF-binding protein (protein: CRFBP, gene: Crhbp) mRNA was similar between virgin and lactating rats. Subtype-specific activation of CRFR, predominantly CRFR1, in the MPOA decreased arched back nursing and total nursing under non-stress conditions. Following acute stressor exposure, only CRFR1 inhibition rescued the stress-induced reduction in arched back nursing while CRFR1 activation prolonged the decline in nursing. Furthermore, inhibition of CRFR1 strongly increased maternal aggression in the maternal defense test. CRFR1 activation had anxiogenic actions and reduced locomotion on the elevated plus-maze, however neither CRFR1 nor R2 manipulation affected maternal motivation. In addition, activation of CRFR1, either centrally or locally in the MPOA, increased local oxytocin release. Finally, inhibition of CRFBP (a potent regulator of CRFR activity) in the MPOA did not affect any of the maternal parameters investigated.
In conclusion, activity of CRFR in the MPOA, particularly of subtype 1, needs to be dampened during lactation to ensure appropriate maternal behavior. Furthermore, oxytocin release in the MPOA may provide a regulatory mechanism to counteract the negative impact of CRFR activation on maternal behavior.
•Activation of MPOA CRFR, predominantly CRFR1, impaired maternal care.•Inhibition of MPOA CRFR1 strongly increased maternal aggression.•Activation of MPOA CRFR1 triggered local oxytocin release.•CRF-binding protein in the MPOA did not regulate maternal behavior.•Dampened CRFR1 activity in MPOA is vital to ensure appropriate maternal behavior.
We study the structure of adic curves over an affinoid field of arbitrary rank. In particular, quite analogously to Berkovich geometry we classify points on curves, prove a semistable reduction ...theorem in the version of Ducros' triangulations, define associated curve skeletons and prove that they are deformational retracts in a suitable sense. An important new technical tool is an appropriate compactification of ordered groups that we call the ranger compactification. Intervals of rangers are then used to define metric structures and construct deformational retractions.
The adic tame site Hübner, Katharina
arXiv (Cornell University),
05/2021
Paper, Journal Article
Odprti dostop
For every adic space \(Z\) we construct a site \(Z_t\), the tame site of \(Z\). For a scheme \(X\) over a base scheme \(S\) we obtain a tame site by associating with \(X/S\) an adic space ...\(\textit{Spa}(X,S)\) and considering the tame site \(\textit{Spa}(X,S)_t\). We examine the connection of the cohomology of the tame site with étale cohomology and compare its fundamental group with the conventional tame fundamental group. Finally, assuming resolution of singularities, for a regular scheme \(X\) over a base scheme \(S\) of characteristic \(p > 0\) we prove a cohomological purity theorem for the constant sheaf \(\mathbb{Z}/p\mathbb{Z}\) on \(\textit{Spa}(X,S)_t\). As a corollary we obtain homotopy invariance for the tame cohomology groups of \(\textit{Spa}(X,S)\).
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