Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 26,98 MB
Release : 2005
Category : Computers
ISBN : 9783540212904
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)
Author : Ian Reid
Publisher : Gingko Press
Page : 112 pages
File Size : 25,61 MB
Release : 2022-02-15
Category : Photography
ISBN : 9781584237709
Photographer and documentarian Ian Reid was born and raised in Fort Greene, Brooklyn. In 2018 he set out to photograph 23 public housing developments in Brooklyn from above. His goal was to preserve the architecture and to present the structures without any preconceived notions of what goes on within. The images are framed by the streets they are defined by, often showing how they look with the changing seasons. Gentrification and development have changed the surroundings of the public housing, but the buildings and its residents for the most part stay the same. Complex Geometry respects the true residents of Brooklyn and pays homage to where Reid grew up and still spends a great deal of his time.
Author : Donu Arapura
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 32,77 MB
Release : 2012-02-15
Category : Mathematics
ISBN : 1461418097
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.
Author : Hans Schwerdtfeger
Publisher : Courier Corporation
Page : 228 pages
File Size : 31,73 MB
Release : 2012-05-23
Category : Mathematics
ISBN : 0486135861
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Author : Jürgen Richter-Gebert
Publisher : Springer Science & Business Media
Page : 573 pages
File Size : 43,37 MB
Release : 2011-02-04
Category : Mathematics
ISBN : 3642172865
Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
Author : Robert E. Greene
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 21,64 MB
Release : 2011-05-18
Category : Mathematics
ISBN : 0817646221
This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.
Author : Shiing-shen Chern
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 37,56 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1468493442
From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
Author : Claire Voisin
Publisher : Cambridge University Press
Page : 334 pages
File Size : 14,87 MB
Release : 2007-12-20
Category : Mathematics
ISBN : 9780521718011
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.
Author : Fangyang Zheng
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 36,11 MB
Release : 2000
Category : Mathematics
ISBN : 9780821888223
Author : Raymond O. Wells, Jr.
Publisher : Springer
Page : 320 pages
File Size : 22,49 MB
Release : 2017-08-01
Category : Mathematics
ISBN : 3319581848
Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash. Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.
