Let L be an ample line bundle on a (geometrically reduced) projective variety X over any complete valued field. Our main result describes the leading asymptotics of determinant cohomology large powers L, with respect to supnorm continuous metric Berkovich analytification L. As consequence, we establish in this setting existence transfinite diameters and equidistribution Fekete points, following...

1. Donahoe PK, Osmond JD, Stewart DR, Hendren WH: Renal parenchytnal tolerance to artery occlusion. Ann Surg 178: 138-142, 1973 2. Balint P, Fekete A, Munkacsi I: Renal function following complete ligation of the renal artery. Experientia 21: 714-715, 1965 3. Fekete A: Functions of the kidney after ligation of the renal artery. Acta Med Acad Sci Hung 23: 353-363, 1967 4. Eliska O: Blood flow th...

In this paper we obtain the Fekete-Szegö inequality for a class of analytic functions f(z) defined in the open unit disk for which

Tensor products of Gauss-Lobatto quadrature points are frequently used as collocation points in spectral element methods. Unfortunately, it is not known if Gauss-Lobatto points exist in non-tensor-product domains like the simplex. In this work, we show that the n-dimensional tensor-product of Gauss-Lobatto quadrature points are also Fekete points. This suggests a way to generalize spectral meth...

In this present investigation, the authors obtain a sharp Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which (1 + β) ( z f(z) )α − βf ′(z) ( z f(z) )1+α , (β ∈ C, 0 < α < 1) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also, certain applications of our results for a class of functions de...

Book review: Aniko Magashazi (2021). Singapore Globally Entangled. Lessons for Central Europe? K?szeg: Institute of Advanced Studies K?szeg (iASK), 310, ISBN 978-615-5742-15-6 Aniko Magashazi’s monograph provides an analysis that is embedded in a thorough and well-constructed discussion the major salient features Singapore. The novelty topic as evident today it was evaluated by author al...