In this paper, we show that the Hilbert-Kunz multiplicities of the reductions to positive characteristics of an irreducible projective curve in characteristic 0 have a well-defined limit as the characteristic tends to ∞.
We prove that for an irreducible representation τ : GL(n) → GL(W), the associated homogeneous P n k-vector bundle W τ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in P n k , where k is an algebraically closed field of characteristic = 2, 3 respectively. In particular W τ is semistable when restricted to general… (More)
BACKGROUND Chitosan is a dietary fibre which acts by reducing fat absorption and thus used as a means for controlling weight. Weight loss clinical trial outcomes, however, have contradictory results regarding its efficacy. The primary objective of the present study was to evaluate the efficacy and safety of a chitosan from fungal origin in treatment of… (More)