2020ok  Directory of FREE Online Books and FREE eBooks

Free eBooks > Science > General > Lectures on Vanishing Theorems

Lectures on Vanishing Theorems

by Helene Esnault

Download Book
(Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites owned by authors and publishers. If you have any questions about these links, please contact us.)

link 1

About Book

Book Description
This book, an extended collection of lectures delivered at "Schloss Reisenburg" during the DMV-Seminar "Algebraic Geometry, 1991", aims at presenting Kodaira's vanishing theorem and several generalizations in a way which is as algebraic as possible. We 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 degenration of the Hodge to de Rham spectral sequence with algebraic methods, due to P. Deligne and L. Illusie. We apply those methods to obtain vanishing theorems. Several typical applications and the generic theorems of M. Green and R. Lazarsfeld complete the picture. The exposition is self-contained and accessible to anyone with background in modern algebraic geometry. The necessary formalisms from cohomology theory are recalled in an appendix. The workshop organized by the Deutsche Mathematiker-Vereinigung (German Mathematics Society) are intended to help, in particular, students and younger mathematicians, to obtain an introduction to fields of current research. Through the means of these well-organized seminars, scientists form other fields can also be introduced to new mathematical ideas. The publication of these workshops in the series DMV SEMINAR will make the material available to an even larger audience.



PLEASE READ: All comments must be approved before appearing in the thread; time and space constraints prevent all comments from appearing. We will only approve comments that are directly related to the article, use appropriate language and are not attacking the comments of others.

Message (please, no HTML tags. Web addresses will be hyperlinked):

Related Free eBooks

Related Tags

DIGG This story   Save To Google   Save To Windows Live   Save To Del.icio.us   diigo it   Save To blinklist
Save To Furl   Save To Yahoo! My Web 2.0   Save To Blogmarks   Save To Shadows   Save To stumbleupon   Save To Reddit