Purely inseparable points on curves

We give effective upper bounds for the number of purely inseparable points on non isotrivial curves over function fields of positive characteristic and of transcendence degree one. These bounds depend on the genus of the curve, the genus of the function field and the number of points of bad reductio...

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Bibliographic Details
Main Author: Rössler, D
Other Authors: Jarden, M
Format: Book section
Language:English
Published: American Mathematical Society 2021
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author Rössler, D
author2 Jarden, M
author_facet Jarden, M
Rössler, D
author_sort Rössler, D
collection OXFORD
description We give effective upper bounds for the number of purely inseparable points on non isotrivial curves over function fields of positive characteristic and of transcendence degree one. These bounds depend on the genus of the curve, the genus of the function field and the number of points of bad reduction of the curve.
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institution University of Oxford
language English
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spelling oxford-uuid:c615e2ef-9fde-4515-831d-40165ce300d32022-10-24T08:47:57ZPurely inseparable points on curvesBook sectionhttp://purl.org/coar/resource_type/c_3248uuid:c615e2ef-9fde-4515-831d-40165ce300d3EnglishSymplectic Elements at OxfordAmerican Mathematical Society2021Rössler, DJarden, MShaska, TWe give effective upper bounds for the number of purely inseparable points on non isotrivial curves over function fields of positive characteristic and of transcendence degree one. These bounds depend on the genus of the curve, the genus of the function field and the number of points of bad reduction of the curve.
spellingShingle Rössler, D
Purely inseparable points on curves
title Purely inseparable points on curves
title_full Purely inseparable points on curves
title_fullStr Purely inseparable points on curves
title_full_unstemmed Purely inseparable points on curves
title_short Purely inseparable points on curves
title_sort purely inseparable points on curves
work_keys_str_mv AT rosslerd purelyinseparablepointsoncurves