[滋賀医科大学基礎学研究第15号] 目次

Let E /Q be a modular elliptic curve, and p > 3 a good ordinary or semistable prime.. Under mild hypotheses, we prove an exact formula for the µ-invariant associated to

There is a unique Desargues configuration D such that q 0 is the von Staudt conic of D and the pencil of quartics is cut out on q 0 by the pencil of conics passing through the points

If the S n -equivariant count of points of this space, when considered as a function of the number of elements of the finite field, gives a polynomial, then using the purity we

We recall here the de®nition of some basic elements of the (punctured) mapping class group, the Dehn twists, the semitwists and the braid twists, which play an important.. role in

Includes some proper curves, contrary to the quasi-Belyi type result. Sketch of

In my earlier paper [H07] and in my talk at the workshop on “Arithmetic Algebraic Geometry” at RIMS in September 2006, we made explicit a conjec- tural formula of the L -invariant

We shall refer to Y (respectively, D; D; D) as the compactification (respec- tively, divisor at infinity; divisor of cusps; divisor of marked points) of X. Proposition 1.1 below)

It is perhaps not a priori clear that the implied flows are given directly by FM vectorfields along such curves (or that the flows are even PDE’s on the curve level). In any event,