By Claire Voisin, Leila Schneps
This can be a sleek creation to Kaehlerian geometry and Hodge constitution. assurance starts off with variables, complicated manifolds, holomorphic vector bundles, sheaves and cohomology conception (with the latter being handled in a extra theoretical manner than is common in geometry). The e-book culminates with the Hodge decomposition theorem. In among, the writer proves the Kaehler identities, which ends up in the not easy Lefschetz theorem and the Hodge index theorem. the second one a part of the booklet investigates the which means of those ends up in a number of instructions.