Abstract We show that the higher direct image sheaves of relative canonical bundle tensorized with a Nakano semi-positive vector admit singular Hermitian metrics Griffiths curvature and minimal extension property.

The finite-size effect on the evolution of the Griffiths phase (GP) is studied using nanoparticles of half-doped manganite Pr0.5Sr0.5MnO3 with different average particle sizes but with similar structural parameters. All the samples exhibit pronounced GP behavior. With reducing the particle size, the Griffiths temperature remains almost unchanged but the characteristic critical temperature [Form...

Pursuing McQuillan’s philosophy in proving the Green-Griffiths conjecture for certain surfaces of general type, we deal with the algebraic degeneracy of entire curves tangent to holomorphic foliations by curves. Inspired by the recent work [PS14], we study the intersection of Ahlfors current T [f ] with tangent bundle TF of F , and derive some consequences. In particular, we introduce the defin...

We show that the Hodge and pole order filtrations are different for a sufficiently general singular projective hypersurface of degree 3 or 4 if the dimension of the projective space is at least 5 or 3 respectively. We then prove a variant of Wotzlaw’s formula for the Hodge filtration in case the singular points of a hypersurface are ordinary double points and their images by the e-fold Veronese...

The recent discovery of a number of heavy fermion materials with non-Fermi liquid (NFL) thermodynamic and transport properties has been followed by a significant theoretical effort to understand the origin of the NFL behavior.1 In the cleaner systems, the proximity to a quantum critical point appears to dominate many of the observed properties.2–10 In other heavy fermion systems disorder seems ...

Infants born preterm are at high risk for the onset of cognitive dysfunctions at school age. The aim of this study was to investigate the association between early neurodevelopmental assessment and the risk of adverse cognitive outcome in extremely low birth weight children. We enrolled all newborns (January 2002 - April 2007) consecutively admitted to our Institution, with a birthweight < 1000...

We examine the interplay of the Kondo effect and the RKKY interactions in electronic Griffiths phases using extended dynamical mean-field theory methods. We find that sub-Ohmic dissipation is generated for sufficiently strong disorder, leading to the suppression of Kondo screening on a finite fraction of spins, and giving rise to universal spin-liquid behavior.