Overview

"This work - an extended collection of lectures delivered at ""Schloss Reisenburg"" during the DMV-Seminar, ""Algebraic Geometry, 1991"" - aims to present Kodaira's vanishing theorem and several generalizations in a way which is as algebraic as possible. Together, the lectures develop the theory of logarithmic de Rham complexes, the use of the corresponding spectral sequence, lifting properties for manifolds and their Frobenius morphisms in characteristic p>0 and the proof of the degeneration of the Hodge to de Rham spectral sequence with algebraic methods, due to P. Deligne and L. Illusie. These methods are applied to obtain vanishing theorems. Several typical applications and the generic theorems of M. Green and R. Lazarsfeld complete the picture. This exposition should be accessible to anyone with a background in modern algebraic geometry. The necessary formalisms from cohomology theory are recalled in an appendix."

Full Product Details

Author:   Esnault ,  Vieweg
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1992 ed.
Volume:   20
Dimensions:   Width: 17.00cm , Height: 0.90cm , Length: 24.40cm
Weight:   0.350kg
ISBN:  

9783764328221

ISBN 10:   3764328223
Pages:   166
Publication Date:   01 December 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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