Lectures related to Line bundle

Covers the application of Serre Duality in the general case, focusing on line bundles and core concepts.

Explores the applications of Serre duality in Enriques-Severi-Zariski lemma, foliations, and Riemann-Roch theorem.

Covers the unit tangent bundle of hyperbolic spaces and geodesic flows.

Covers market-based instruments for emission reductions and their efficiency in minimizing costs across different sources of emissions.

Covers retractions, tangent bundles, and embedded submanifolds on manifolds with proofs and examples.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.