Notes on Crystalline Cohomology. (MN-21)

Adjoint functors, Inverse system, Exact sequence, Linear map, Sheaf (mathematics), Artinian, Mapping cone (homological algebra), Hasse invariant, Corollary, Natural transformation, Discrete valuation ring, Base change, Axiom, Equation, Morphism, Initial and terminal objects, Exterior algebra, Presheaf (category theory), Additive map, Derived category, Adjunction formula, P-adic number, K-theory, Exterior derivative, Leray spectral sequence, Projective module, Sheaf of modules, Abelian category, Commutative diagram, Commutative property, Formal power series, Banach space, Dual basis, Functor, Homotopy, Polynomial, Subring, Cartesian product, Mathematical induction, Cohomology, Degeneracy (mathematics), Module (mathematics), De Rham cohomology, Divisibility rule, Explicit formula, Special case, Alexander Grothendieck, Eigenvalues and eigenvectors, Hodge theory, Theorem, Existential quantification, Endomorphism, Diagram (category theory), Inverse limit, Closed immersion, Differential operator, Noetherian ring, Newton polygon, Noetherian, Epimorphism, Characterization (mathematics), Crystalline cohomology, Codimension, Frobenius endomorphism, Zariski topology, Cokernel, Symmetric algebra, Transitive relation, Power series, Spectral sequence