Lectures related to Normal scheme

Explores a criterion for computing quotients in algebraic geometry, emphasizing the importance of normality and g-invariant morphisms.

Covers regularity and integrality in local Noether rings and affine rings.

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.

Explores the relationship between tangent spaces and dimension in algebraic geometry.