Hodge Theory and Complex Algebraic Geometry I: Volume 1 - 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 I: Volume 1 write by Claire Voisin. This book was released on 2002-12-05. Hodge Theory and Complex Algebraic Geometry I: Volume 1 available in PDF, EPUB and Kindle. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.
Hodge Theory and Complex Algebraic Geometry I:
Hodge Theory and Complex Algebraic Geometry I: - 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 I: write by Claire Voisin. This book was released on 2007-12-20. Hodge Theory and Complex Algebraic Geometry I: available in PDF, EPUB and Kindle. This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.
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 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
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.
Complex Geometry
Complex 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 Complex Geometry write by Daniel Huybrechts. This book was released on 2005. Complex Geometry available in PDF, EPUB and Kindle. Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)
