Download Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin,Leila Schneps PDF

By Claire Voisin,Leila Schneps

The 2003 moment quantity of this account of Kaehlerian geometry and Hodge conception begins with the topology of households of algebraic kinds. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz examine of Lefschetz pencils, and Deligne theorems at the degeneration of the Leray spectral series and the worldwide invariant cycles stick with. the most result of the second one half are the generalized Noether–Lefschetz theorems, the general triviality of the Abel–Jacobi maps, and most significantly Nori's connectivity theorem, which generalizes the above. The final a part of the ebook is dedicated to the relationships among Hodge conception and algebraic cycles. The booklet concludes with the instance of cycles on abelian kinds, the place a few result of Bloch and Beauville, for instance, are expounded. The textual content is complemented by way of workouts giving worthy ends up in complicated algebraic geometry. will probably be welcomed by way of researchers in either algebraic and differential geometry.

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