Familial Hematuric Nephropathy: A Review of Thirty-Four Personal Cases

Lifts of simple curves in finite regular coverings of closed surfaces

“…For example, it seems to be well-known that when the deck transformation group is Abelian, sc p (H 1 (S; Z)) = H 1 (S, Z). (As was explained to the author by Marco Boggi, [1], this claim follows from arguments of with rational and hence integral coefficients. It was proven directly for integral coefficients in an earlier version of this paper.…”

“…It follows from arguments of Boggi-Looijenga, [1] and [7], that when D is Abelian, H 1 (S; Q) is generated by homology classes of lifts of simple, nonseparating curves. In Figure 1, for example, it is not hard to see that pairs of connected components of pre-images of a simple null homologous curve n are in the span of connected components of pre-images of generators.…”