K3 Surfaces and Their Moduli - 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 K3 Surfaces and Their Moduli write by Carel Faber. This book was released on 2016-04-22. K3 Surfaces and Their Moduli available in PDF, EPUB and Kindle. This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics. K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry. Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.
Lectures on K3 Surfaces
Lectures on K3 Surfaces - 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 Lectures on K3 Surfaces write by Daniel Huybrechts. This book was released on 2016-09-26. Lectures on K3 Surfaces available in PDF, EPUB and Kindle. K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
On the Compactification of Moduli Spaces for Algebraic K3 Surfaces
On the Compactification of Moduli Spaces for Algebraic K3 Surfaces - 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 On the Compactification of Moduli Spaces for Algebraic K3 Surfaces write by Francesco Scattone. This book was released on 1985. On the Compactification of Moduli Spaces for Algebraic K3 Surfaces available in PDF, EPUB and Kindle.
The Geometry of Moduli Spaces of Sheaves
The Geometry of Moduli Spaces of Sheaves - 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 The Geometry of Moduli Spaces of Sheaves write by Daniel Huybrechts. This book was released on 2010-05-27. The Geometry of Moduli Spaces of Sheaves available in PDF, EPUB and Kindle. This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Complex Analysis and Algebraic Geometry
Complex Analysis and 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 Complex Analysis and Algebraic Geometry write by Kunihiko Kodaira. This book was released on 1977. Complex Analysis and Algebraic Geometry available in PDF, EPUB and Kindle. The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.
