It is a sleek creation to Kaehlerian geometry and Hodge constitution. insurance starts with variables, complicated manifolds, holomorphic vector bundles, sheaves and cohomology conception (with the latter being taken care of in a extra theoretical approach than is common in geometry). The ebook culminates with the Hodge decomposition theorem. In among, the writer proves the Kaehler identities, which ends up in the demanding Lefschetz theorem and the Hodge index theorem. the second one a part of the publication investigates the that means of those leads to a number of instructions.

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