Results 81 to 90 of about 161 (99)
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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 +1 more
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A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties [PDF]
Journal of Symbolic Computation, 2015 International audienceIn this paper, we use the theory of theta functions to generalize to all abelian varieties the usual Miller's algorithm to compute a function associated to a principal divisor.
Damien Robert, David Lubicz
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Abelian Varieties, Nil-Theta and Theta Functions [PDF]
, 1977 Louis Auslander
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Measures of Simultaneous Approximation for Quasi-Periods of Abelian Varieties [PDF]
Journal of Number Theory, 2002 We examine various extensions of a series of theorems proved by Chudnovsky in the 1980s on the algebraic independence (transcendence degree 2) of certain quantities involving integrals of the first and second kind on elliptic curves; these extensions ...
Grinspan, Pierre
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General Abelian Varieties and Theta Function
1997Jac(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
1983The 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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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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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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Theta functions and cycles on some abelian fourfolds
Mathematische Zeitschrift, 1996Bert van Geemen, Van Geemen Bert
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The loci of abelian varieties with points of high multiplicity on the theta divisor
Geometriae Dedicata, 2008Riccardo Salvati Manni +1 more
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