The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art.
This is a modern introduction to Kaehlerian geometry and Hodge structure.
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art.
The text is complemented by exercises which provide useful results in complex algebraic geometry.
The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties.
This is a modern introduction to Kaehlerian geometry and Hodge structure.
This is the English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon.
Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important ...
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology.
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.