On effaceability of certain $\delta$-functors
Matthew Emerton, Vytautas Paskunas
TL;DR
This paper proves a conjecture related to the effaceability of certain delta-functors for the group GL_2 over a p-adic field, contributing to the understanding of their algebraic properties.
Contribution
It establishes the effaceability of specific delta-functors for GL_2 over finite extensions of Q_p, confirming a conjecture by the first author.
Findings
Proves the conjecture for GL_2(F)
Advances understanding of delta-functors in p-adic representation theory
Provides new tools for studying algebraic structures over local fields
Abstract
We prove a conjecture of the first author for , where is a finite extension of .
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology