Zariski tangent space

Related lectures (12)

Explores derivations and the Zariski tangent space in algebraic geometry, emphasizing their importance and practical applications.

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers the concept of local frames, their construction, and limitations.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores the relationships between tangent spaces, dimensions, and sub-varieties in algebraic geometry.

Introduces the concept of the differential of a morphism and its applications in algebraic treatments.

Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.

Explores the relationship between tangent spaces and dimension in algebraic geometry.

Discusses gradients on Riemannian submanifolds and the construction of local frames.

Explores tangent spaces as free movement directions on submanifolds, offering a geometrically satisfying linearization notion.

Introduces Lie algebras, vector spaces with a special bracket operation.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

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