This is a modern introduction to Kaehlerian geometry and Hodge structure. 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 book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.

The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above. The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry. Also available: Volume I 0-521-80260-1 Hardback $60.00 C

Although the majority of the world's Herons live in the tropics and subtropics, Europe is home to nine species, some large, some small, some colonial, some solitary breeders. Highly specialized birds, they exhibit many interesting differences in their behaviour and ecology and are a favourite group for many ornithologists. Voisin begins her book with a general description of the family before going on to treat each species in more detail. The species accounts summarize such topics as field characters, distribution, population size, breeding and feeding ecology and behaviour.