368 citations
- Institute of PhysicsPL15 papers
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8 papers · 1 filter
The Conway-Sloane tetralattice pairs are non-isometric
Juan Marcos Cervino, Georg Hein
Conway and Sloane constructed a 4-parameter family of pairs of isospectral lattices of rank four. They conjectured that all pairs in their family are non-isometric, whenever the pa…
Formal groups, supersingular abelian varieties and tame ramification
Sara Arias-de-Reyna
Let us consider an abelian variety defined over with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the…
On Modular Forms and the Inverse Galois Problem
Luis Dieulefait, Gabor Wiese
In this article new cases of the Inverse Galois Problem are established. The main result is that for a fixed integer n, there is a positive density set of primes p such that PSL_2(…
Congruence for rational points over finite fields and coniveau over local fields
Hélène Esnault, Chenyang Xu
If the -adic cohomology of a projective smooth variety, defined over a local field with finite residue field , is supported in codimension , then every model ov…
Coniveau over -adic fields and points over finite fields
Hélène Esnault
If the -adic cohomology of a projective smooth variety, defined over a -adic field with finite residue field , is supported in codimension , then any…
Asymptotically good towers and differential equations
Peter Beelen, Irene I. Bouw
This paper concerns towers of curves over a finite field with many rational points, following Garcia--Stichtenoth and Elkies. We present a new method to produce such towers. A key…