Catanese surfaces are regular surfaces of general type with pg = 0. They specialize to double covers of Barlow surfaces. We prove that the CH0 group of a Catanese surface is equal to Z, which implies the same result for the Barlow surfaces.

We consider a particle of half-integer spin which is nonrelativistic in the rest frame. Assuming the particle is completely polarized along third axis we calculate the Bloch vector as seen by a moving observer. The result for its length is expressed in terms of dispersion of some vector operator linear in momentum. The relation with the localization properties is discussed. ∗supported by the Ló...

Introduction: Prostate cancer (PCa) is the most prevalent malignant tumor in the male population worldwide and it is the second leading cause of cancer-related death in males. PCa is almost incurable due to the resistance of PCa to conventional treatments. Cancer stem cells (CSCs) theory suggests that a small subpopulation of cancer cells is responsible for tumor development, ...

Due to historical and political matters, what is, today, called Finland was a part of Sweden until 1809. Thereafter, the region an autonomous Grand Duchy in Russian Empire. Beside Latin, for long time, Swedish language authorities, education, partly science scholarship. Not time Finnish played important role as outside private sphere. German Russian, respectively, were used on special occasions...

We define and characterize the harmonic Besov space Bp, 1 ≤ p ≤ ∞, on the unit ball B in Rn. We prove that the Besov spaces Bp, 1 ≤ p ≤ ∞, are natural quotient spaces of certain Lp spaces. The dual of Bp, 1 ≤ p < ∞, can be identified with Bq , 1/p + 1/q = 1, and the dual of the little harmonic Bloch space B0 is B1.