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A congruence property of the local Langlands correspondence
Simple type modular local Langlands correspondence effective local Langlands correspondence Number Theory
2011/9/2
Abstract: Let $F$ be a non-Archimedean local field of residual characteristic $p$, and $\ell$ a prime number, $\ell \neq p$. We consider the Langlands correspondence, between irreducible, $n$-dimensio...
Given a graded sequence of ideals (a_m) on a smooth variety X, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepanc...
Algebraic density property of Danilov-Gizatullin surfaces
Algebraic density property Danilov-Gizatullin surfaces
2010/12/9
A Danilov-Gizatullin surface is an affine surface V which is the com-plement of an ample section S of a Hirzebruch surface. The remarkable theorem of Danilov and Gizatullin states that the isomorphism...
Field Extensions Having the Unique Subfield Property, and G-Cogalois Extensions
Field extension separable extension simple extension radical extension G--Cogalois extension unique subfield property classical Kummer extension
2010/3/1
We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez (1982, J. Number Theory 15, 388-405) characterizing separable simple radical field extensions with the...