Lectures related to Algebraic geometry

Quotient Criterion

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

Motivic Knot Theory: Quadratic Linking Degree

Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, oriented links, intersection theory, and examples like the Hopf and Solomon links.

Geometric Transformations: Projective Geometry Fundamentals

Covers the fundamentals of projective geometry and its applications in architecture.

Homogeneous Ideals and Regular Rings

Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.

Geometric Proportions: Euclidean Elements

Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.

Cartier Divisors and Invertible Sheaves

Covers Cartier divisors, invertible sheaves, and their properties in algebraic geometry.