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On nonemptiness of Newton strata in the BdR+-Grassmannian for GLn
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On nonemptiness of Newton strata in the BdR+-Grassmannian for GLn
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Journal Article
On nonemptiness of Newton strata in the BdR+-Grassmannian for GLn
2024
Overview
We study the Newton stratification in the BdR+-Grassmannian for GLn associated to an arbitrary (possibly nonbasic) element of B(GLn). Our main result classifies all nonempty Newton strata in an arbitrary minuscule Schubert cell. For a large class of elements in B(GLn), our classification is given by some explicit conditions in terms of Newton polygons. For the proof, we proceed by induction on n using a previous result of the author that classifies all extensions of two given vector bundles on the Fargues–Fontaine curve.
Publisher
European Mathematical Society (EMS)
Subject
