Harder-Narasimhan theory
Jonathan Pottharst
TL;DR
This paper presents an abstract formulation of Harder-Narasimhan theory, clarifying its foundational principles without providing proofs, to aid understanding and application.
Contribution
It offers a clear, proof-free abstract formulation of Harder-Narasimhan theory, enhancing conceptual understanding.
Findings
Provides a formal, proof-free framework for Harder-Narasimhan theory
Clarifies foundational aspects of stability and filtrations
Facilitates further research and applications in related fields
Abstract
An abstract formulation of Harder-Narasimhan theory is stated without proof by L. Fargues, and I found it helpful to write it all out.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry