Algebraic Threefolds PDF Download

Author: Alberto Conte
Publisher: Springer
ISBN: 3540393420
Category : Mathematics
Languages : en
Pages : 322

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Author: Leonard Roth
Publisher: Springer Science & Business Media
ISBN: 3642855318
Category : Mathematics
Languages : en
Pages : 150

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Author: Masayuki Kawakita
Publisher: Cambridge University Press
ISBN: 1108844235
Category : Mathematics
Languages : en
Pages : 503

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A detailed treatment of the explicit aspects of the birational geometry of algebraic threefolds arising from the minimal model program.

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: Radu Laza
Publisher: Springer Science & Business Media
ISBN: 146146403X
Category : Mathematics
Languages : en
Pages : 613

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Book Description
In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi–Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi–Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.

Author: Leonard Roth
Publisher: Springer
ISBN: 9783642855320
Category :
Languages : en
Pages : 152

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

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Author: Toshiki Mabuchi
Publisher:
ISBN:
Category :
Languages : en
Pages : 112

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Author: Frédéric Mangolte
Publisher: Springer Nature
ISBN: 3030431045
Category : Mathematics
Languages : en
Pages : 453

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Book Description
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert's famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter.

Author: Daniel James Bates
Publisher: American Mathematical Soc.
ISBN: 0821847465
Category : Mathematics
Languages : en
Pages : 379

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Book Description
This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.