Dimension of Algebraic VarietyExplores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Affine VarietiesIntroduces affine varieties and covers morphisms between them and their coordinate rings.
Field of Rational FunctionsExplores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
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.
