We explain a naive approach towards the problem of finding genus 3 curves C over any given finite field Fq of odd characteristic, with a number of rational points close to the Hasse-Weil-Serre upper bound q + 1 + 3[2 √ q]. The method turns out to be successful at least in characteristic 3.
A general type of ray class elds of global function elds is investigated. The computation of their genera is reduced to the determination of the degrees of these extensions, which turns out to be the main diiculty. While in two special situations explicit formulas for the degrees are known, the general problem is solved algorithmically. The systematic… (More)
The authors describe the clinical course, postmortem findings, and characterization of a novel autoantibody (anti-M-phase phosphoprotein-1 [anti-MPP-1]) in a patient with a longstanding acquired demyelinating polyneuropathy and neuronopathy. Postmortem examination identified active sensory neuron degeneration, sensory axon loss, and widespread peripheral… (More)