2008/02/12 by Mihran Papikian, Papikian, Mihran
Mathematics · #11G25 #14G05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G25 #msc:14G05
paper · pdf · doi:10.48550/arxiv.0802.1568
19 pages; to appear in Crelle
arxiv created 2008/02/12 · arxiv updated 2009/12/01
We compare the asymptotic grows of the number of rational points on modular varieties of D-elliptic sheaves over finite fields to the grows of their Betti numbers as the degree of the level tends to infinity. This is a generalization to higher dimensions of a well-known result for modular curves. As a consequence of the main result, we also produce a new asymptotically optimal sequence of curves.