Results 121 to 130 of about 2,776 (226)

On the order of the reduction of a point on an abelian variety [PDF]

, 2018
.: Consider a point of infinite order on an abelian variety over a number field. Then its reduction at any place v of good reduction is a torsion point.
Pink, Richard
core  

Boundedness of the p-primary torsion of the Brauer group of products of varieties

Forum of Mathematics, Sigma
Let k be a field finitely generated over its prime subfield. We prove that the quotient of the Brauer group of a product of varieties over k by the sum of the images of the Brauer groups of factors has finite exponent.
Alexei Skorobogatov, Alexander Petrov
doaj   +1 more source

Varieties of abelian quasigroups [PDF]

Czechoslovak Mathematical Journal, 1977
Jezek, Jaroslav, Kepka, Tomas
openaire   +2 more sources

Spatial inversion symmetry breaking of vortex current in a biased-ladder superfluid

Physical Review Research
We investigate the quench dynamics of interacting bosons on a two-leg ladder in the presence of a uniform Abelian gauge field. The model hosts a variety of emergent quantum phases, and we focus on the superfluid biased-ladder phase breaking the Z_{2 ...
Weijie Huang, Yao Yao
doaj   +1 more source

Hodge theory of abelian covers of algebraic varieties

Forum of Mathematics, Sigma
Motivated by classical Alexander invariants of affine hypersurface complements, we endow certain finite dimensional quotients of the homology of abelian covers of complex algebraic varieties with a canonical and functorial mixed Hodge structure (MHS ...
Eva Elduque, Moisés Herradón Cueto
doaj   +1 more source

Local André-Oort conjecture for the universal abelian variety [PDF]

, 2008
. We prove a p-adic analogue of the André-Oort conjecture for subvarieties of the universal abelian varieties containing a dense set of special points. Let g and n be integers with n ≥ 3 and p a prime number not dividing n. Let R be a finite extension of
Thomas Scanlon
core  

The groups of points on abelian varieties over finite fields

Open Mathematics, 2010
Rybakov Sergey
doaj   +1 more source

Nonnatural automorphisms of the Hilbert scheme of two points of some simple abelian variety [PDF]

We construct nonnatural automorphisms of the Hilbert scheme of two points of some simple abelian variety preserving the big diagonal by considering automorphisms of the n-th product of the abelian varieties.6 pages, minor corrections, to appear in ...
Sasaki, Yuya
core   +1 more source

Moduli of abelian varieties in mixed and in positive characteristic [PDF]

, 2013
We start with a discussion of CM abelian varieties in characteristic zero, and in positive characteristic. An abelian variety over a finite field is a CM abelian variety, as Tate proved. Can it be CM lifted to characteristic zero?
Farkas, G., Algebra & Geometry and Mathematical Locic, Oort, F., Morrison, I., Afd Mathematisch Instituut   +4 more
core  

Comparison of the $μ$-invariants of an abelian variety and its dual abelian variety

, 2013
In this note, we compare the dual Selmer groups of an abelian variety with that of its dual over certain large Galois field. We give formula which relates the generalized Iwasawa $μ$-invariants associated with their dual Selmer groups under the natural isogeny.
openaire   +2 more sources