Compact Manifolds ClassificationCovers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.
Algebraic Varieties and MorphismsIntroduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Morphisms and Local RingsExplores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.