Holomorphic vector bundle

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Related lectures (30)

Modular Forms: Dimension Formula

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

Modular Forms: Dimension Formulas

Covers dimension formulas for modular forms and related proofs using Riemann-Roch corollaries.

Complex Integration and Cauchy's Theorem

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Herglotz Representation Theorem

Covers the Herglotz representation theorem and the construction of projection-valued measure.

Residue Theorem: Cauchy's Integral Formula and Applications

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Unclosed Curves Integrals

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Complex Analysis: Laurent Series and Residue Theorem

Discusses Laurent series, residue theorem, and their applications in complex analysis.

Linear Algebra: Vector Spaces

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Weierstrass Theorem: Holomorphic Functions

Covers the Weierstrass theorem regarding sequences of holomorphic functions and uniform convergence over compact sets.

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