Extensions of vector bundles on the Fargues-Fontaine curve II
Serin Hong
TL;DR
This paper provides a complete classification of all vector bundles that can be formed as extensions of two arbitrary vector bundles on the Fargues-Fontaine curve, advancing understanding of their structure.
Contribution
It offers a comprehensive classification of extension vector bundles on the Fargues-Fontaine curve, a significant step in p-adic geometry.
Findings
Complete classification of extension bundles
New structural insights into vector bundle extensions
Framework applicable to broader p-adic geometric contexts
Abstract
Given two arbitrary vector bundles on the Fargues-Fontaine curve, we completely classify all vector bundles which arise as their extensions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology