Rigid cohomology is a relatively new and sophisticated theory in the field of arithmetic geometry, developed primarily by Bhargav Bhatt and Peter Scholze. It serves as a tool to study the properties of schemes over p-adic fields, with a focus on their rigid analytic aspects. Rigid cohomology generalizes several classical notions in algebraic geometry and offers a framework for understanding phenomena in the realm of p-adic Hodge theory.
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