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Results tagged with abelian-varieties
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user 2191
Abelian varieties are projective algebraic varieties endowed with an Abelian group structure. Over the complex numbers, they can be described as quotients of a vector space by a lattice of full rank. They are analogs in higher dimensions of elliptic curves, and play an important role in algebraic geometry and number theory.
23
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answer
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Is hyperelliptic cryptography "practical"?
Previosly my impression on this subject was that hyperelliptic cryptography systems (as well as other possible cryptosystems based on abelian varieties of dimension $>1$) have no advantages over ellip …
- 16.9k
3
votes
In which ways can the isogeny theorem fail for local fields?
The main types of the reduction are: good, semi-stable, and bad one.:) If you consider the product of abelian varieties, then its reductions is the 'worst' of those of its 'components'; so in the hig …
- 16.9k