Related papers: The Heyde Theorem on a-adic Solenoids
In this short paper, we give a $p$-adic analogue of the Hard Leftschetz Theorem.
According to the Heyde theorem the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear form of independent random variables given another. We prove an analogue of this…
We prove Heyneman-Radford Theorem in the framework of Monoidal Categories.
We consider compact, aspherical solenoids obtained as the inverse limit of a system of CW~complexes and covering maps. This includes $P$-adic solenoids, as well as the universal hyperbolic solenoid of Teichm\"{u}ller theory. Using ideas…
We prove an analogue of the prime number theorem for finite fields.
Let A be an abelian fourfold. We prove the Standard Conjecture of Hodge type for A. By combining this result with a theorem of Clozel we deduce that numerical equivalence on A coincides with l-adic homological equivalence on A for…
We introduce a Zariskian analogue of the theory of Huber's adic spaces.
In this note we give a p-adic proof of Hodge symmetry for smooth, projective threefolds over complex numbers.
We revisit Ahlfors theory of covering surfaces thanks to Stokes theorem.
We derive a symplectic analogue of A-directed immersion theorem.
We give a q-analogue of Gauss' divisibility theorem
We construct a general relativistic analogy of an infinite solenoid, i.e., of an infinite cylinder with zero electric charge and non-zero electric current in the direction tangential to the cylinder and perpendicular to its axis. We further…
We give an elementary proof to Hasse theorem.
Here we look at some related constructions of solenoids, and mappings associated to them.
We prove a version of van der Corput's Lemma for polynomials over the p-adic numbers.
A typoid is a type equipped with an equivalence relation, such that the terms of equivalence between the terms of the type satisfy certain conditions, with respect to a given equivalence relation between them, that generalise the properties…
We extract the Abhyankar-Moh-Suzuki theorem from the Lin-Zaidenberg theorem.
In this paper, we formulate and prove the so-called $p$-adic non-commutative analytic subgroup theorem. This result is seen as the $p$-adic analogue of a recent theorem given by Yafaev.
We show that Hardy's uncertainty principle can be reformulated in such a way that it has an analogue even for compact Lie groups and symmetric spaces of compact type.
We consider the adic realization of the Morse transformation on the additive group of integer dyadic numbers. We discuss the arithmetic properties of that action. Then we extend that action to the action of the group of rational dyadic…