MOSCOW (AP) — In a story July 18, The Associated Press quoted Ekaterina Sokirianskaia, project director for Russia and North Caucasus at the International Crisis Group, as saying that ordinary people and businesses are the major source of funding for a charitable foundation run by the family of Chechen leader Ramzan Kadyrov. The story should have noted that Sokirianskaia said she got this information from reports by local residents.questions about the "size" of these solutions may be posed, as well as the qualitative issues of whether any points exist, and if so whether there are an infinite number. Given the geometric approach, the consideration of homogeneous equations and homogeneous co-ordinates is fundamental, for the same reasons that projective geometry is the dominant approach in algebraic geometry. Rational number solutions therefore are the primary consideration; but integral solutions (i.e. lattice points) can be treated in the same way as an affine variety may be considered inside a projective variety that has extra points at infinity.

The general approach of Diophantine geometry is illustrated by Faltings's theorem (a conjecture of L. J. Mordell) stating that an algebraic curve C of genus g > 1 over the rational numbers has