These proceedings of the June-July 2007 conference include papers on recent developments in algebraic geometry over finite fields with particular attention to applications of geometric techniques to the study of rational points on varieties over finite fields with dimensions of at least two. Topics of the papers include finite field experiments, K3 surfaces of Picard Rank One (which are double covers of the projective plane), Beilinson conjectures in the non-commutative setting, rational curves on cubic hypersurfaces, Abelian varieties over finite fields, global information from computations over finite fields, the geometry of Shimura varieties of the Hodge type over finite fields, Zeta functions over finite fields, de Rham cohomology of varieties over fields of positive characteristics, and homomorphisms of Abelian varieties over finite fields. Each paper includes references, and the editors have included an author index. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
