Vanishing central differences

Attractors with Vanishing Central Charge

We consider the Attractor Equations of particular N = 2, d = 4 supergravity models whose vector multiplets’ scalar manifold is endowed with homogeneous symmetric cubic special Kähler geometry, namely of the so-called st2 and stu models. In this framework, we derive explicit expressions for the critical moduli corresponding to non-BPS attractors with vanishing N = 2 central charge. Such formulæ ...

Global Takeoff of New Products: Culture, Wealth, or Vanishing Differences?

T authors study the takeoff of 16 new products across 31 countries (430 categories) to analyze how and why takeoff varies across products and countries. They test the effect of 12 hypothesized drivers of takeoff using a parametric hazard model. The authors find that the average time to takeoff varies substantially between developed and developing countries, between work and fun products, across...

Astrocytes are central in the pathomechanisms of vanishing white matter.

Vanishing white matter (VWM) is a fatal leukodystrophy that is caused by mutations in genes encoding subunits of eukaryotic translation initiation factor 2B (eIF2B). Disease onset and severity are codetermined by genotype. White matter astrocytes and oligodendrocytes are almost exclusively affected; however, the mechanisms of VWM development remain unclear. Here, we used VWM mouse models, patie...

Non-vanishing of Dirichlet L-functions at the Central Point

Vanishing Vanishing Cycles

If A• is a bounded, constructible complex of sheaves on a complex analytic space X, and f : X → C and g : X → C are complex analytic functions, then the iterated vanishing cycles φg[−1](φf [−1]A •) are important for a number of reasons. We give a formula for the stalk cohomology H∗(φg[−1]φf [−1]A •)x in terms of relative polar curves, algebra, and the normal Morse data and micro-support of A•.