Crystalline cohomology is a cohomology theory that arises in algebraic geometry, specifically dealing with schemes over a base field of positive characteristic. This theory is particularly significant in studying the properties of algebraic varieties and their deformation, as it allows for the analysis of geometric structures in a way that incorporates both algebraic and topological aspects. It provides a powerful framework for understanding the relationships between various cohomological theories, especially in relation to étale cohomology and de Rham cohomology.
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