Results 71 to 80 of about 221 (90)

The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality

We construct a "Hitchin-type" connection on bundles of non-abelian theta functions on higher-rank Prym varieties, for unramified double covers of curves. We formulate a version of level-rank duality in this Prym setting (building on work of Zelaci), show
Bolognesi, Michele, Pauly, Christian, Baier, Thomas, Martens, Johan   +3 more
core   +2 more sources

Abelian varieties in the theta model and applications in cryptography

Isogenies of principally polarised abelian varieties have been used in recent years to build cryptographic protocols that are secure against quantum computers.
SFERLAZZA, ALESSANDRO
core  

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Complex Abelian Varieties and Theta Functions

Universitext, 1991
George R Kempf
openaire   +3 more sources

VII. Theta Functions and Periods on Abelian Varieties

1998
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Addition Formulae for Non-Abelian Theta Functions and Applications [PDF]

Journal of Geometry and Physics, 2003
[EN]This paper generalizes for non-Abelian theta functions a number of formulae valid for theta functions of Jacobian varieties. The addition formula, the relation with the Szëgo kernel and with the multicomponent KP hierarchy and the behavior under ...
Gómez González, Esteban, Plaza Martín, Francisco José   +1 more
exaly   +2 more sources

General Abelian Varieties and Theta Function

1997
Jac(S) is a very important but quite special example, which, at the same time, is an algebraic variety. From Kodaira embedding theorem, one easily infers the following fact known already to Frobenius.
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Bi-extensions associated to divisors on abelian varieties and theta functions

1983
The purpose of this paper is to construct a new purely algebraic theory of theta functions over a field of characteristic \(p\geq 0\). Let A be an abelian variety over the field \({\mathbb{C}}\) of complex numbers, g a (meromorphic) theta function belonging to A, and \(x_ i\) \((i=1,2,3)\) the coordinate variables on 3 copies of the universal covering ...
CANDILERA, MAURIZIO, CRISTANTE V.
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Fonctions thêta et points de torsion des variétés abéliennes. (Theta functions and torsion points of abelian varieties)

1991
Let \(k\) be an arithmetic field of finite degree over \(\mathbb{Q}\) and \(A\) an abelian variety of dimension \(g\geq 1\) defined over \(k\). Given a torsion point of \(A\), \(e(\neq 0)\), let \(n(e)\) be the order of \(e\) and \(d(e)\) the degree, over \(k\), of the field of definition of \(e\). The main result of this paper is a lower bound for \(d(
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Abelian Varieties, Nil-Theta and Theta Functions

1977
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The Loci of Abelian Varieties With Points of High Multiplicity on the Theta Divisor

Geometriae Dedicata, 2009
Riccardo SALVATI MANNI, Samuel Grushevsky   +1 more
exaly