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Abelian varieties without a prescribed Newton Polygon reduction

Authors :
Jiangwei Xue
Chia-Fu Yu
Source :
Proceedings of the American Mathematical Society. 143:2339-2345
Publication Year :
2015
Publisher :
American Mathematical Society (AMS), 2015.

Abstract

In this article we construct for each integer $n\ge 2$ an abelian variety $A$ of dimension $n$ defined over a number field for which there exists a symmetric slope sequence of length $2n$ that does not appear as the slope sequence of $\widetilde A$ for all good reductions $\widetilde A$ of $A$.

Details

ISSN :
10886826 and 00029939
Volume :
143
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........6a755f4fbcdfed4b803c1a8380fe1412