Results 181 to 190 of about 3,771 (225)
Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]
Li C, Rapoport M, Zhang W.
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Boundedness of Complements for Log Calabi-Yau Threefolds. [PDF]
Chen G, Han J, Xue Q.
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Hypergeometric Abelian Varieties [PDF]
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
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Varieties of abelian topological groups with coproducts [PDF]
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
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Abelian varieties isogenous to no Jacobian [PDF]
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
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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
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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
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HEIGHT ON FAMILIES OF ABELIAN VARIETIES
Mathematics of the USSR-Sbornik, 1972Let 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.
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Abelian Varieties and Cryptography
2005Let 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
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