3 papers
math.NT2019
Graph of even points on an arithmetic curve
Alfred Czogała, Przemysław Koprowski
We show that the points of a global function field, whose classes are 2-divisible in the Picard group, form a connected graph, with the incidence relation generalizing the well kno…
math.NT2018
Wild sets in global function fields
Alfred Czogała, Przemysław Koprowski, Beata Rothkegel
Given a self-equivalence of a global function field, its wild set is the set of points where the self-equivalence fails to preserve parity of valuation. In this paper we describe s…
math.HO2018
Yet another proof of the quadratic reciprocity law
Alfred Czogała, Przemysław Koprowski
We present a new proof of the celebrated quadratic reciprocity law. Our proof is based on group theory.