Results 81 to 90 of about 297 (187)

Artin’s conjecture for abelian varieties [PDF]

open access: yesKyoto Journal of Mathematics, 2016
The following theorem is proved: let \(A\) be an abelian variety of dimension~\(r\) over \({\mathbb Q}\) and let \((a_1,\dots,a_g)\in A({\mathbb Q})\) be \({\mathbb Q}\)-linearly independent points. (In particular, the \({\mathbb Q}\)-rank of \(A\) is at least~\(g\).) Suppose also that at least one of the \(a_i\) is not divisible by \(2\) in \(A ...
openaire   +2 more sources

Subvarieties of Abelian Varieties

open access: yes, 2001
We discuss various constructions which allow one to embed a principally polarized abelian variety in the jacobian of a curve. Each of these gives representatives of multiples of the minimal cohomology class for curves which in turn produce subvarieties of higher dimension representing multiples of the minimal class.
openaire   +2 more sources

New Zealand volume. [PDF]

open access: yesEur J Math, 2022
Bogomolov F   +3 more
europepmc   +1 more source

Lattices in Tate modules. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Poonen B, Rybakov S.
europepmc   +1 more source

Varieties of abelian quasigroups [PDF]

open access: yesCzechoslovak Mathematical Journal, 1977
Jezek, Jaroslav, Kepka, Tomas
openaire   +2 more sources

Automorphic Bloch theorems for hyperbolic lattices. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Maciejko J, Rayan S.
europepmc   +1 more source

Fourier Mukai transforms of line bundles on derived equivalent abelian varieties

open access: yesLe Matematiche, 2008
We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X.
Martin G. Gulbrandsen
doaj  

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