Hodge Theory and Complex Algebraic Geometry II: - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hodge Theory and Complex Algebraic Geometry II: write by Claire Voisin. This book was released on 2007-12-20. Hodge Theory and Complex Algebraic Geometry II: available in PDF, EPUB and Kindle. The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above. The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry. Also available: Volume I 0-521-80260-1 Hardback $60.00 C
Hodge Theory and Complex Algebraic Geometry II: Volume 2
Hodge Theory and Complex Algebraic Geometry II: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hodge Theory and Complex Algebraic Geometry II: Volume 2 write by Claire Voisin. This book was released on 2003-07-03. Hodge Theory and Complex Algebraic Geometry II: Volume 2 available in PDF, EPUB and Kindle. The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether–Lefschetz theorems, the generic triviality of the Abel–Jacobi maps, and most importantly Nori's connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.
Hodge Theory and Complex Algebraic Geometry II
Hodge Theory and Complex Algebraic Geometry II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hodge Theory and Complex Algebraic Geometry II write by Claire Voisin. This book was released on 2003. Hodge Theory and Complex Algebraic Geometry II available in PDF, EPUB and Kindle. The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text is complemented by exercises which provide useful results in complex algebraic geometry.
Hodge Theory and Complex Algebraic Geometry
Hodge Theory and Complex Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hodge Theory and Complex Algebraic Geometry write by Voisin. This book was released on 2014-01-01. Hodge Theory and Complex Algebraic Geometry available in PDF, EPUB and Kindle. The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.
Algebraic Geometry over the Complex Numbers
Algebraic Geometry over the Complex Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry over the Complex Numbers write by Donu Arapura. This book was released on 2012-02-15. Algebraic Geometry over the Complex Numbers available in PDF, EPUB and Kindle. This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.
