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Standard domino tableaux have already been considered by many authors [33], [6], [34], [8], [1], but, to the best of our knowledge, the expression of the
The only thing left to observe that (−) ∨ is a functor from the ordinary category of cartesian (respectively, cocartesian) fibrations to the ordinary category of cocartesian
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We list in Table 1 examples of elliptic curves with minimal discriminant achieving growth to each possible torsion group over Q
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
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
In particular, they showed that the fifth-order Kaup–Kupershmidt equation is induced by a local motion in centro-affine geometry and that modified versions of the fifth-
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