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Lecture
Projective Plane Curves
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Related lectures (31)
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Projective Geometry: Tangent Lines
Discusses the correction of tangent lines and projective plane curves, exploring topological applications and curve structure.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Elliptic Curves: Theory and Applications
Covers the theory and applications of elliptic curves in cryptography and number theory.
Intersection Numbers: Algebraic Counting Solutions
Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.
Tangent Lines and Equality
Explores the intersection multiplicity of curves and the absence of common tangent lines.
Plane Curves: Singular Points and Multiplicities
Explores plane curves, focusing on singular points, multiplicities, and tangent lines.
Curves and Surfaces
Covers the representation of plane curves and the nature of obtained curves.
Differential Geometry: Parametric Curves & Surfaces
Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.
Polynomials on a Field: Basics and Operations
Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.
