Applications of Serre Duality

Related lectures (31)

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Explores closed curves in topological spaces, emphasizing their properties and significance in mathematics.

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Explains the parametric equations of surfaces of revolution generated by curves in space.

Introduces working with surfaces, polysurfaces, and solids in Rhino, covering rendering, material editing, and mesh creation.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

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

Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.

Introduces the fundamentals of working with NURBS and surfaces in Rhino, covering tools for creating curves, surfaces, and meshes.

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Page 2 of 2