Results 51 to 60 of about 2,776 (226)

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Detectable gravitational wave signals from inflationary preheating

Physics Letters B, 2023
We consider gravitational wave (GW) production during preheating in hybrid inflation models where an axion-like waterfall field couples to Abelian gauge fields.
Yanou Cui, Evangelos I. Sfakianakis
doaj   +1 more source

Abelian varieties over finite fields as basic abelian varieties [PDF]

Forum Mathematicum, 2016
Abstract In this note we show that any basic abelian variety with additional structures over an arbitrary algebraically closed field of characteristic p > 0
openaire   +3 more sources

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

On the Hodge conjecture for products of certain surfaces [PDF]

, 2003
In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José, J Ramón Marí, José   +1 more
core  

Heights on a subvariety of an abelian variety [PDF]

, 2004
Extending Ullmo–Zhang's result on the Bogomolov conjecture, we give conditions that a closed subvariety of an abelian variety A defined over a number field is isomorphic to an abelian variety in terms of the value distribution of a Neron–Tate height ...
Ichikawa, Takashi
core   +1 more source

Note on quasivarieties generated by finite pointed abelian groups

Open Mathematics
We prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi ...
Basheyeva Ainur, Lutsak Svetlana
doaj   +1 more source

Free semigroups of large critical exponent

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley   +1 more source

A sharp Bogomolov-type bound [PDF]

, 2012
We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties. This uses and generalises a result of Galateau.
Checcoli, Sara, Veneziano, Francesco, Viada, Evelina   +2 more
core  

Miyaoka–Yau inequalities and the topological characterization of certain klt varieties

Comptes Rendus. Mathématique
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern classes, as the varieties where the Miyaoka–Yau inequality becomes an equality.
Greb, Daniel, Kebekus, Stefan, Peternell, Thomas   +2 more
doaj   +1 more source