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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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Mechanism, cellular functions and cancer roles of polymerase-theta-mediated DNA end joining

Nature Reviews Molecular Cell Biology, 2021
Dale A Ramsden   +2 more
exaly  

Discrete Gaussian Distributions via Theta Functions

SIAM Journal on Applied Algebra and Geometry, 2019
Daniele Agostini, Carlos Améndola
exaly  

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