Isogeny graphs of ordinary abelian varieties
نویسندگان
چکیده
منابع مشابه
Isogeny graphs of ordinary abelian varieties
Fix a prime number . Graphs of isogenies of degree a power of are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the case of absolutely simple ordinary abelian varieties over a finite field. We analyse graphs of so-called l-isogenies, resolving that, in arbitrary dimension, their structure is similar, but not identical, to the “volcanoes” occurri...
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ژورنال
عنوان ژورنال: Research in Number Theory
سال: 2017
ISSN: 2363-9555
DOI: 10.1007/s40993-017-0087-5