Intersection number

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Related lectures (31)

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Intersection of Line and Plane: Geometric Descriptive

Explains the intersection of a line and a plane using auxiliary planes and projectants.

Projective Plane Curves

Introduces projective plane curves, degrees, components, multiplicities, intersection numbers, tangents, and multiple points, culminating in the statement of Bézout's theorem and its consequences.

The Quadratic Linking Degree

Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.

Surfaces in Space

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Configurations of 3 Plans in Space

Explores the configurations of 3 plans in space and the decomposition of isometries.

Intersections in Descriptive Geometry

Covers the basics of intersections in descriptive geometry, including the intersection of planes and coplanar lines.

Computing Intersection Numbers

Explores an algorithmic approach to compute intersection numbers for polynomials.

Perpendicular Lines and Planes

Explores perpendicular lines and planes in descriptive geometry, focusing on orthogonality and intersection points.

Sphere, Cone, and Paraboloid

Explores the intersection of a sphere, cone, and paraboloid in 3D space.

Stereographic Projection: Sphere Parameterization

Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.