Hodge Theory and Complex Algebraic Geometry I: Volume 1 Voisin Claire
Hodge Theory and Complex Algebraic Geometry I: Volume 1 Voisin Claire This is a modern introduction to Kaehlerian geometry and Hodge structure. The book culminates with the Hodge decomposition…
Specifikacia Hodge Theory and Complex Algebraic Geometry I: Volume 1 Voisin Claire
Hodge Theory and Complex Algebraic Geometry I: Volume 1 Voisin Claire
This is a modern introduction to Kaehlerian geometry and Hodge structure. The book culminates with the Hodge decomposition theorem. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry).
The second part of the book investigates the meaning of these results in several In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem.