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| Author | : Robert C. Gunning |
| Publisher | : Princeton University Press |
| Total Pages | : 254 |
| Release | : 2020-09-01 |
| Genre | : Mathematics |
| ISBN | : 0691218218 |
The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.
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| Author | : R.C. Gunning |
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| Total Pages | : 243 |
| Release | : 1967 |
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| Author | : Robert Clifford Gunning (Mathematician, United States) |
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| Total Pages | : 243 |
| Release | : 1967 |
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| Author | : Thomas Bloom |
| Publisher | : Princeton University Press |
| Total Pages | : 360 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 1400882575 |
The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.
| Author | : Raghavan Narasimhan |
| Publisher | : Birkhauser |
| Total Pages | : 134 |
| Release | : 1992 |
| Genre | : Mathematics |
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| Total Pages | : 1216 |
| Release | : 1989 |
| Genre | : Engineering |
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| Author | : Carlos Armindo Arango Florentino Florentino |
| Publisher | : |
| Total Pages | : 110 |
| Release | : 1997 |
| Genre | : Riemann surfaces |
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| Total Pages | : 1186 |
| Release | : 1986 |
| Genre | : American literature |
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| Author | : Daniel Huybrechts |
| Publisher | : Cambridge University Press |
| Total Pages | : 499 |
| Release | : 2016-09-26 |
| Genre | : Mathematics |
| ISBN | : 1316797252 |
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.
