Flips and Abundance for Algebraic Threefolds PDF Download

Author: János Kollár
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 272

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Author: Masayuki Kawakita
Publisher: Cambridge University Press
ISBN: 1108946038
Category : Mathematics
Languages : en
Pages : 504

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Book Description
The first book on the explicit birational geometry of complex algebraic threefolds, this detailed text covers all the knowledge of threefolds needed to enter the field of higher dimensional birational geometry. Containing over 100 examples and many recent results, it is suitable for advanced graduate students as well as researchers.

Author: Alessio Corti
Publisher: Oxford University Press, USA
ISBN: 0198570619
Category : Language Arts & Disciplines
Languages : en
Pages : 200

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Book Description
Aimed at graduates and researchers in algebraic geometry, this collection of edited chapters provides a complete and essentially self-contained account of the construction of 3-fold and 4-fold klt flips.

Author:
Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 1191

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Book Description

Author: Michael Schneider
Publisher: Cambridge University Press
ISBN: 9780521770866
Category : Mathematics
Languages : en
Pages : 582

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Book Description
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.

Author: Ravi Vakil
Publisher: American Mathematical Soc.
ISBN: 0821837192
Category : Mathematics
Languages : en
Pages : 202

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Book Description
A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry. The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.

Author: Christopher D. Hacon
Publisher: Cambridge University Press
ISBN: 110764755X
Category : Mathematics
Languages : en
Pages : 451

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Book Description
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

Author: Robert Friedman
Publisher: Springer Science & Business Media
ISBN: 1461216885
Category : Mathematics
Languages : en
Pages : 333

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Book Description
A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, before the geometry of vector bundles over such surfaces is analysed. Many of the results on vector bundles appear for the first time in book form, backed by many examples, both of surfaces and vector bundles, and over 100 exercises forming an integral part of the text. Aimed at graduates with a thorough first-year course in algebraic geometry, as well as more advanced students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology, many of the results on vector bundles will also be of interest to physicists studying string theory.

Author: Daniel Huybrechts
Publisher: Cambridge University Press
ISBN: 1316797252
Category : Mathematics
Languages : en
Pages : 499

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Book Description
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.

Author: Aaron Bertram
Publisher: American Mathematical Soc.
ISBN: 0821821520
Category : Mathematics
Languages : en
Pages : 304

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Book Description
Gathers the 14 papers presented during a March 2000 symposium on algebraic geometry. The contributors survey the links between geometry and the theory of Korteweg de Vries (KdV) equations, as well as new developments in orbifold string theory. Other papers investigate orthogonal complex hyperbolic arrangements, vector bundles on the cubic threefold, using symmetry to count rational curves, the Nash conjecture for non-projective threefolds, and the punctual Hilbert scheme of a symplectic fourfold. No index. Annotation copyrighted by Book News, Inc., Portland, OR