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 thought begins with the topology of households of algebraic types. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz learn of Lefschetz pencils, and Deligne theorems at the degeneration of the Leray spectral series and the worldwide invariant cycles stick to. the most result of the second one half are the generalized Noether–Lefschetz theorems, the commonly used triviality of the Abel–Jacobi maps, and most significantly Nori's connectivity theorem, which generalizes the above. The final a part of the e-book is dedicated to the relationships among Hodge concept and algebraic cycles. The publication concludes with the instance of cycles on abelian types, the place a few result of Bloch and Beauville, for instance, are expounded. The textual content is complemented by way of routines giving worthy leads to complicated algebraic geometry. will probably be welcomed by way of researchers in either algebraic and differential geometry.

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