This is the first paper in a series to develop linear and nonlinear theory for elliptic parabolic equations on Kahler varieties with mild singularities. Donaldson has established Schauder estimate complex Monge-Ampere when background metrics $\mathbb{C}^n$ have cone singularities along smooth hypersurface. We prove sharp pointwise metric $g_\beta= \sqrt{-1} ( dz_1 \wedge d\bar{z_1} + \ldots \be...

Let X be a projective K3 surface over C. We prove that its Cox ring has generating set whose degrees are either classes of smooth rational curves, sums at most three elements the Hilbert basis nef cone, or form 2(f+f?), where f,f? elliptic curves with f?f?=2. This result and techniques using Koszul's type exact sequences then applied to determine for all Mori dream surfaces Picard number which ...

The observation of jet quenching and associated away–side Mach cone– like correlations at RHIC provide powerful “external” probes of the sQGP produced in A+A reactions [1], but it simultaneously raises the question where the jet energy was deposited. The nearly perfect bulk fluidity observed via elliptic flow suggests that Mach cone–like correlations may also be due to rapid local equilibration...

in this paper, gaussian and elliptic high pass filters are analyzed for image sharpening qualitatively and quantatively . the filters are implemented in frequency domain using matlab software. experiments are performed to compare the performance of both the filters ,processed images are presented. the results demonstrate that elliptic yields better results.