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On the minimal set for counterexamples to the local-global principle
minimal set counterexamples local-global principle Number Theory
2011/9/14
Abstract: We prove that only for powers of 2 and 3 could occur counterexamples to the local-global divisibility principle for elliptic curves defined over the rationals. For we refine our previous cri...
Classification of Kac representations in the logarithmic minimal models LM(1,p)
Classification of Kac representations logarithmic minimal models LM(1,p)
2011/3/3
For each pair of positive integers r, s, there is a so-called Kac representation (r, s) associated with a Yang-Baxter integrable boundary condition in the lattice approach to the logarithmic minimal m...
Some Congruences of Kloosterman Sums and their Minimal Polynomials
Congruences of Kloosterman Sums Minimal Polynomials
2011/1/18
We prove two results on Kloosterman sums over finite fields, using Stickelberger’s theorem and the Gross-Koblitz formula. The first result concerns the minimal polynomial over Q of a Kloosterman sum, ...
Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6
Graded limits of minimal affinizations Beyond multiplicty free case for type E6
2011/1/21
We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured...
Minimal Lagrangian submanifolds in indefinite complex space
Lagrangian submanifolds complex space
2010/11/22
Consider the complex linear space C^n endowed with the natural pseudo-Hermitian form <<.,.>>_p of signature p. This yields both a pseudo-Riemannian and a symplectic structure on C^n. We prove that th...