ar X iv : m at h / 01 04 17 8 v 1 [ m at h . N T ] 1 8 A pr 2 00 1 Arithmetic theory of q - difference equations
نویسنده
چکیده
Part II. p-adic methods §3. Considerations on the differential case §4. Introduction to p-adic q-difference modules 4.1. p-adic estimates of q-binomials 4.2. The Gauss norm and the invariant χv(M) 4.3. q-analogue of the Dwork-Frobenius theorem §5. p-adic criteria for unipotent reduction 5.1. q-difference modules having unipotent reduction modulo ̟v 5.2. q-difference modules having unipotent reduction modulo 1− qv
منابع مشابه
ar X iv : m at h / 98 04 13 2 v 1 [ m at h . Q A ] 2 8 A pr 1 99 8 AFFINE WEYL GROUPS , DISCRETE DYNAMICAL SYSTEMS AND PAINLEVÉ EQUATIONS
A new class of representations of affine Weyl groups on rational functions are constructed, in order to formulate discrete dynamical systems associated with affine root systems. As an application, some examples of difference and differential systems of Painlevé type are discussed.
متن کاملar X iv : m at h / 01 05 23 2 v 1 [ m at h . N T ] 2 8 M ay 2 00 1 MODULAR CURVES OF GENUS 2
We prove that there are exactly 149 genus two curves C defined over Q such that there exists a nonconstant morphism π : X 1 (N) → C defined over Q and the jacobian of C is Q-isogenous to the abelian variety A f attached by Shimura to a newform f ∈ S 2 (Γ 1 (N)). We determine the corresponding newforms and present equations for all these curves.
متن کاملar X iv : h ep - t h / 01 04 16 1 v 1 1 9 A pr 2 00 1 Gravitating monopoles in SU ( 3 ) gauge theory
We consider the Einstein-Yang-Mills-Higgs equations for an SU(3) gauge group in a spherically symmetric ansatz. Several properties of the gravitating monopole solutions are obtained an compared with their SU(2) counterpart.
متن کاملar X iv : h ep - t h / 02 04 01 8 v 1 2 A pr 2 00 2 1 Supersymmetry and the Odd Poisson Bracket
Some applications of the odd Poisson bracket developed by Kharkov's theorists are represented.
متن کاملar X iv : m at h / 04 01 05 6 v 1 [ m at h . G T ] 7 J an 2 00 4 SQUARE - TILED SURFACES IN H ( 2 )
This is a study of square-tiled translation surfaces in the stratum H(2) and their SL(2, R)-orbits or Teichmüller discs, which are arithmetic. We prove that for prime n > 3 translation surfaces tiled by n squares fall into two Teichmüller discs, only one of them with elliptic points, and that the genus of these discs has a cubic growth rate in n.
متن کامل