Results 181 to 190 of about 3,771 (225)

The KLT Kernel in Twistor Space. [PDF]

open access: yesCommun Math Phys
Adamo T, Klisch S.
europepmc   +1 more source

Hypergeometric Abelian Varieties [PDF]

open access: yesCanadian Journal of Mathematics, 2003
AbstractIn this paper, we construct abelian varieties associated to Gauss’ and Appell–Lauricella hypergeometric series. Abelian varieties of this kind and the algebraic curves we define to construct them were considered by several authors in settings ranging from monodromy groups (Deligne, Mostow), exceptional sets (Cohen, Wolfart, Wüstholz), modular ...
Natália Archinard
openaire   +2 more sources

Varieties of abelian topological groups with coproducts [PDF]

open access: yesAlgebra Universalis, 2015
Varieties of groups, introduced in the 1930s by Garret Birkhoff and B.H. Neumann, are defined as classes of groups satisfying certain laws or equivalently as classes of groups closed under the formation of subgroups, quotient groups, and arbitrary ...
Sidney Morris   +2 more
exaly   +2 more sources

Abelian varieties isogenous to no Jacobian [PDF]

open access: yesAnnals of Mathematics, 2020
A question of N. Katz and F. Oort asked whether (for any g >4), there exist abelian varieties of dimension g defined over the algebraic numbers and isogenous to no Jacobian. J.
Umberto Zannier, David Masser
exaly   +2 more sources

Moduli of Abelian Varieties

The Annals of Mathematics, 1980
On extra components in the functorial compactification of Ag.- On Mumford's uniformization and Neron models of Jacobians of semistable curves over complete rings.- Torelli theorem via Fourier-Mukai transform.- On the Andre-Oort conjecture for Hilbert modular surfaces.- Toroidal resolutions for some matrix singularities.- Formal Brauer groups and moduli
Norman, P, OORT, F
openaire   +1 more source

HEIGHT ON FAMILIES OF ABELIAN VARIETIES

Mathematics of the USSR-Sbornik, 1972
Let be an abelian variety imbedded in projective space, and let be an induced invertible sheaf on . In this paper explicit bounds are determined for the difference , where is the Neron-Tate height and is the Weil height.Bibliography: 5 titles.
Zarkhin, Yu. G., Manin, Yu. I.
openaire   +2 more sources

Abelian Varieties and Cryptography

2005
Let A be an Abelian variety over a finite field $\mathbb{F}$. The possibility of using the group $A(\mathbb{F})$ of points on A in $\mathbb{F}$ as the basis of a public-key cryptography scheme is still at an early stage of exploration. In this article, we will discuss some of the issues and their current staus. In particular, we will discuss arithmetic
openaire   +1 more source

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