Tangent Spaces Insights

Related lectures (32)

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

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

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

Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.

Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.

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

Presents a proof that smooth projective varieties with nef anti-canonical divisor have surjective Albanese morphism.

Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.

Covers the Weil conjectures on rationality, functional equation, and the Riemann hypothesis, exploring properties of varieties in algebraic geometry.