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On certain extensions of vector bundles in p-adic geometry

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 نشر من قبل Serin Hong
 تاريخ النشر 2020
  مجال البحث
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 تأليف Serin Hong




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Given three arbitrary vector bundles on the Fargues-Fontaine curve where one of them is assumed to be semistable, we give an explicit and complete criterion in terms of Harder-Narasimha polygons on whether there exists a short exact sequence among them. Our argument is based on a dimension analysis of certain moduli spaces of bundle maps and bundle extensions using Scholzes theory of diamonds.

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