Results 51 to 60 of about 5,445 (84)

General Abelian Varieties and Theta Function

open access: closed, 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.
Krzysztof Maurin
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Bi-extensions associated to divisors on abelian varieties and theta functions

open access: closed, 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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