Duality (projective geometry)

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Related lectures (30)

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Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Sum of RP2 Connected Sums

Covers the concept of connected sums in RP2 and how to compute them.

Projective Geometry: Tangent Lines

Discusses the correction of tangent lines and projective plane curves, exploring topological applications and curve structure.

Complements of Hypersurfaces in Projective Spaces

Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.

Surface Classification Applications

Covers the applications of surface classification using mathematical notation and formulas.

Elliptic Curves: Singular Points and Group Law

Explores singular points, the group law, and the ambiguity in defining the sum of a point with itself on elliptic curves.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Historical Overview of Perspective Techniques in Geometry

Explores the evolution of perspective techniques from Antiquity to the Renaissance, highlighting key figures and their contributions to geometry and representation.

Inversion & Family of Orthogonal Circles

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.

Homology of Projective Space

Covers the homology of projective space, focusing on cohomology and exact sequences.