On the height of Gross–Schoen cycles in genus three

We show that there exists a sequence of genus three curves defined over the rationals in which the height of a canonical Gross–Schoen cycle tends to infinity.

Detalles Bibliográficos
Autor principal: de Jong, Robin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6413647/
https://www.ncbi.nlm.nih.gov/pubmed/30957003
http://dx.doi.org/10.1007/s40993-018-0131-0
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author de Jong, Robin
author_facet de Jong, Robin
author_sort de Jong, Robin
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description We show that there exists a sequence of genus three curves defined over the rationals in which the height of a canonical Gross–Schoen cycle tends to infinity.
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spelling pubmed-64136472019-04-03 On the height of Gross–Schoen cycles in genus three de Jong, Robin Res Number Theory Research We show that there exists a sequence of genus three curves defined over the rationals in which the height of a canonical Gross–Schoen cycle tends to infinity. Springer International Publishing 2018-09-17 2018 /pmc/articles/PMC6413647/ /pubmed/30957003 http://dx.doi.org/10.1007/s40993-018-0131-0 Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
de Jong, Robin
On the height of Gross–Schoen cycles in genus three
title On the height of Gross–Schoen cycles in genus three
title_full On the height of Gross–Schoen cycles in genus three
title_fullStr On the height of Gross–Schoen cycles in genus three
title_full_unstemmed On the height of Gross–Schoen cycles in genus three
title_short On the height of Gross–Schoen cycles in genus three
title_sort on the height of gross–schoen cycles in genus three
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6413647/
https://www.ncbi.nlm.nih.gov/pubmed/30957003
http://dx.doi.org/10.1007/s40993-018-0131-0
work_keys_str_mv AT dejongrobin ontheheightofgrossschoencyclesingenusthree

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