Imperial College London
Professor David Helm

ProfessorDavidHelm

Faculty of Natural Sciences, Department of Mathematics

Professor of Mathematics
 
 
 
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Contact

 

d.helm

 
 
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Location

 

672Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Helm:2022:10.4310/MRL.2022.v29.n2.a6,
author = {Helm, D},
doi = {10.4310/MRL.2022.v29.n2.a6},
journal = {Mathematics Research Letters},
pages = {445--454},
title = {An ordinary abelian variety with an etale self-isogeny of p-power degree and no isotrivial factors},
url = {http://dx.doi.org/10.4310/MRL.2022.v29.n2.a6},
volume = {29},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We construct, for every prime p, a function field K of characteristicp and an ordinary abelian variety A over K, with no isotrivial factors, thatadmits an ´etale self-isogeny φ : A → A of p-power degree. As a consequence, we deduce that there exist ordinary abelian varieties over function fields whose groups of points over the maximal purely inseparable extension is not finitely generated, answering in the negative a question of Thomas Scanlon.
AU  - Helm,D
DO  - 10.4310/MRL.2022.v29.n2.a6
EP  - 454
PY  - 2022///
SN  - 1073-2780
SP  - 445
TI  - An ordinary abelian variety with an etale self-isogeny of p-power degree and no isotrivial factors
T2  - Mathematics Research Letters
UR  - http://dx.doi.org/10.4310/MRL.2022.v29.n2.a6
UR  - http://hdl.handle.net/10044/1/90919
VL  - 29
ER  -
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