20 citations · 102 across the 71 of their papers we have counts for
Showing 2008 · math.NTShow all
2 papers · 2 filters
math.NT2008
Invariants of stationary AF-algebras and torsion subgroup of elliptic curves with complex multiplication
Igor Nikolaev
Let G(A) be an AF-algebra given by periodic Bratteli diagram with the incidence matrix A in GL(n, Z). For a given polynomial p(x) in Z[x] we assign to G(A) a finite abelian group Z…
math.NT2008
Measured foliations and Hilbert 12th problem
Igor Nikolaev
Yu. I. Manin conjectured that the maximal abelian extensions of the real quadratic number fields are generated by the pseudo-lattices with real multiplication. We prove this conjec…