Lectures related to Tautological 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 vector bundles, locally free sheaves, depth, Serre twisting sheaf, and graded modules in algebraic geometry.

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

Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.

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

Explores differentiable functions, gradients, and tangent planes in two-variable functions.