Download PDF by Claire Voisin,Leila Schneps: Hodge Theory and Complex Algebraic Geometry I: Volume 1

By Claire Voisin,Leila Schneps

the 1st of 2 volumes delivering a contemporary advent to Kaehlerian geometry and Hodge constitution. The publication begins with simple fabric on advanced variables, complicated manifolds, holomorphic vector bundles, sheaves and cohomology conception, the latter being handled in a extra theoretical manner than is common in geometry. the writer then proves the Kaehler identities, which results in the challenging Lefschetz theorem and the Hodge index theorem. The ebook culminates with the Hodge decomposition theorem. The meanings of those effects are investigated in different instructions. thoroughly self-contained, the ebook is perfect for college students, whereas its content material supplies an account of Hodge idea and complicated algebraic geometry as has been constructed by means of P. Griffiths and his college, through P. Deligne, and by means of S. Bloch. The textual content is complemented through workouts which supply helpful ends up in advanced algebraic geometry.

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics) by Claire Voisin,Leila Schneps

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