3 problems

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Serre's Conjecture I for smooth connected linear algebraic groups
Serre's Conjecture I. Does
Conjecturesolvedalgebraic-groups galois-cohomology imperfect-fieldsarXiv posted 2 days ago
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Serre's imperfect-field conjecture for reductive algebraic groups
Serre's reductive-group conjecture. The result should still hold for reductive groups over imperfect fields.
Conjecturesolvedalgebraic-groups galois-cohomology imperfect-fieldsarXiv posted 2 days ago
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Cyclic versus purely inseparable totally ramified maximal subfields of p-algebras
Let $K$ be a complete discrete valued field of characteristic $p$ with residue field $k$ , and let $A$ be a $p$ -algebra over $K$ . A maximal subfield of $A$ is totally ramified cycli…
Conjectureopencentral-simple-algebras imperfect-fields valued-fieldsarXiv posted 2 days ago

Serre's Conjecture I for smooth connected linear algebraic groups