Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)

The first effective result in any dimension towards the Green-Griffiths conjecture was obtained in 2010 by Diverio, Merker and Rousseau ([13]), using step-by-step algebraic

MIHAILESCU A class number free criterion for catalan’s conjecture, Jour- nal of Number theory ,

Then, the 6 × 6 matrix used moves from the basis element 0o – which corresponds to the previous answer given by the integer - to the basis element 1o – to ask what symbol preceded

We determine new irreducible components of the moduli space of codimension two singular projective foliations of any degree, and we show that they are generically reduced in

All objects ap- pearing in this paper are essentially obtained by considering the correspond- ing objects associated with Catalan numbers and by reducing them modulo 2 using

Proposition 2.3.1.. We have an explicit expression for the logarithmic local symbol. The fundamental principle [1, Th.. We introduce the ℓ-adic idele class group for a given

1.. monodromy of the affine structure. However, the case of finite monodromy can be related to stronger structure. For instance, when the monodromy is trivial, then the commuting

Note that S P is a stack with respect to the étale topology since étale sheaves and morphisms between étale sheaves may be constructed étale locally, and in fact S P is a stack