The distance between superspecial abelian varieties with real multiplication
type: Item
instance of: scholarly article
title: The distance between superspecial abelian varieties with real multiplication
zbMATH Open document ID: 1203.14047
author: Eyal Z. Goren
author: Kristin Lauter
published in: Journal of Number Theory
publication date: 2009-05-28T00:00:00Z
review text: The minimal degree of an isogeny between two elliptic curves is referred to the distance between them in analogy with the terminology of graphs. In this paper, upper and lower bounds of the distance between superspecial abelian varieties with real multiplication are proposed. Concretely, for ``\(L\)'' a real field of strict class number one and for ``\(p\)'' a prime unramified in \(L\), the degree of an isogeny between two superspecial abelian varieties with real multiplication by \(L\) in characteristic \(p\) is a positive element of its ring of integers.
reviewed by: Christian Pierre
Mathematics Subject Classification ID: 14K02
Mathematics Subject Classification ID: 11E10
zbMATH DE Number: 5559099
zbMATH Keywords: superspecial abelian variety
zbMATH Keywords: real multiplication
zbMATH Keywords: isogeny
MaRDI profile type: Publication
full work available at URL: j.jnt.2008.07.005
OpenAlex ID: W2001524924
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DOI: 10.1016/J.JNT.2008.07.005
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description: scientific article; zbMATH DE number 5559099