Weight filtrations via slopes

Carolyn Echter

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arXiv · 2606.02944

Weight filtrations via slopes

Carolyn Echter

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Abstract

Mixed structures and their weight filtrations appear in various contexts, prominently Hodge theory and the theory of Galois representations. In the setting of Andr\'e's formalisation of slopes, we propose an abstract framework explaining why mixed structures have shared characteristics.

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Carolyn Echter. 2026-06-01. Weight filtrations via slopes. https://arxiv.org/abs/2606.02944

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