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The height on an abelian variety

1996
The 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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Abelian Varieties

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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Abelian Varieties

1995
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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ABELIAN BY NILPOTENT VARIETIES

The Quarterly Journal of Mathematics, 1970
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A note on abelian varieties

Rendiconti del Circolo Matematico di Palermo, 1953
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Faltings heights of abelian varieties with complex multiplication

Annals of Mathematics, 2018
Fabrizio Andreatta   +2 more
exaly  

Abelian Varieties over the Complex Numbers

Grundlehren Text editions, 2023
exaly  

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