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Rational Singularities for Moment Maps of Totally Negative Quivers. [PDF]
Transform GroupsVernet T.
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Vibrational Quantum-State-Controlled Reactivity in the O<sub>2</sub><sup>+</sup> + C<sub>3</sub>H<sub>4</sub> Reaction. [PDF]
J Phys Chem LettZagorec-Marks C +7 more
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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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Hypergeometric Abelian Varieties
Canadian Journal of Mathematics, 2003AbstractIn 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 ...
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The height on an abelian variety
1996The height function on an abelian variety is addressed via an analogue of Mahler's measure function. It has previously been shown that the measure of a suitable polynomial yields the canonical height function on an elliptic curve; such work is generalised here to demonstrate that the canonical height on a higher-dimensional abelian variety may also be ...
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2006
AbstractHistorically, Mukai's equivalence with the Poincare bundle on the product of an abelian variety and its dual as kernel was the fist Fourier-Mukai transform. The first section in this chapter functions as a reminder of the basic facts from the rich theory of abelian varieties, and the case of principally polarized abelian varieties is studied. A
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AbstractHistorically, Mukai's equivalence with the Poincare bundle on the product of an abelian variety and its dual as kernel was the fist Fourier-Mukai transform. The first section in this chapter functions as a reminder of the basic facts from the rich theory of abelian varieties, and the case of principally polarized abelian varieties is studied. A
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