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math.NT2018
Lie invariant Frobenius lifts on linear algebraic groups
Alexandru Buium
We show that if is a linear algebraic group over a number field and if is not a torus then for all but finitely many primes the -adic completion of does not poss…
math.NT2018
Arithmetic analogues of Hamiltonian systems
Alexandru Buium
The paper reviews various arithmetic analogues of Hamiltonian systems and presents some new facts suggesting ways to relate/unify these examples.
math.NT2018
Invariant Frobenius lifts and deformation of the Hasse invariant
Alexandru Buium
We show that the -adic completion of any affine elliptic curve with ordinary reduction possesses Frobenius lifts whose "normalized" action on -forms preserves mod the spa…