Introduction to the Mori Program PDF Download
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Author: Kenji Matsuki
Publisher: Springer Science & Business Media
ISBN: 147575602X
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable way with lots of background motivation. Prerequisites are those covered in Hartshorne's book "Algebraic Geometry." This is the first book in this extremely important and active field of research and will become a key resource for graduate students wanting to get into the area.
Author: Kenji Matsuki
Publisher: Springer Science & Business Media
ISBN: 147575602X
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Mori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable way with lots of background motivation. Prerequisites are those covered in Hartshorne's book "Algebraic Geometry." This is the first book in this extremely important and active field of research and will become a key resource for graduate students wanting to get into the area.
Author: János Kollár
Publisher: Cambridge University Press
ISBN: 1107035341
Category : Mathematics
Languages : en
Pages : 381
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Book Description
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
Author: Janos Kollár
Publisher: Cambridge University Press
ISBN: 9780511662560
Category : Mathematics
Languages : en
Pages : 254
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Book Description
One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.
Author: Mitch Albom
Publisher: Crown
ISBN: 0307414094
Category : Biography & Autobiography
Languages : en
Pages : 226
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Book Description
#1 NEW YORK TIMES BESTSELLER • A special 25th anniversary edition of the beloved book that has changed millions of lives with the story of an unforgettable friendship, the timeless wisdom of older generations, and healing lessons on loss and grief—featuring a new afterword by the author “A wonderful book, a story of the heart told by a writer with soul.”—Los Angeles Times “The most important thing in life is to learn how to give out love, and to let it come in.” Maybe it was a grandparent, or a teacher, or a colleague. Someone older, patient and wise, who understood you when you were young and searching, helped you see the world as a more profound place, gave you sound advice to help you make your way through it. For Mitch Albom, that person was his college professor Morrie Schwartz. Maybe, like Mitch, you lost track of this mentor as you made your way, and the insights faded, and the world seemed colder. Wouldn’t you like to see that person again, ask the bigger questions that still haunt you, receive wisdom for your busy life today the way you once did when you were younger? Mitch Albom had that second chance. He rediscovered Morrie in the last months of the older man’s life. Knowing he was dying, Morrie visited with Mitch in his study every Tuesday, just as they used to back in college. Their rekindled relationship turned into one final “class”: lessons in how to live. “The truth is, Mitch,” he said, “once you learn how to die, you learn how to live.” Tuesdays with Morrie is a magical chronicle of their time together, through which Mitch shares Morrie’s lasting gift with the world.
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category : Mathematics
Languages : en
Pages : 511
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Book Description
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Author: Landon Brown
Publisher:
ISBN: 9783966800044
Category :
Languages : en
Pages : 240
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Book Description
Toshiko Mori is a New York based architect and Professor in the Practice of Architecture at the Harvard University Graduate School of Design for many years. As a long-time member of the World Economic Forum?s Global Agenda Council on the Future of Cities, Mori led research and inquiry into sustainable architecture, enhancing cities? livability, and creating efficient urban services. Mori is also on the board of Dassault Systems, a company connecting technology to environment and life science. And she has founded the platform VisionArc, a think tank dedicated to exploring the role of design within complex social and environmental issues.0This book will focus on TMA?s projects based on research, and the impact of socially valuable projects to society. The book will illustrate how the observation of the architect operates as opposed to how the imagination of the architect manifest itself. Different chapters in the book are describing various ways of approaching the task of observation. Seven chapters are divided into specific projects and provide a look at the hidden thought processes that can take place behind the ideas, solutions, and physical manifestations or architecture.
Author: Benjamin Bennett-Carpenter
Publisher: BRILL
ISBN: 9004356967
Category : Philosophy
Languages : en
Pages : 232
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Book Description
Memento mori is a broad and understudied cultural phenomenon and experience. The term “memento mori” is a Latin injunction that means “remember mortality,” or more directly, “remember that you must die.” In art and cultural history, memento mori appears widely, especially in medieval folk culture and in the well-known Dutch still life vanitas paintings of the sixteenth and seventeenth centuries. Yet memento mori extends well beyond these points in art and cultural history. In Death in Documentaries: The Memento Mori Experience, Benjamin Bennett-Carpenter suggests that documentaries are an especially apt form of contemporary memento mori. Bennett-Carpenter shows that documentaries may offer composed transformative experiences in which a viewer may renew one’s consciousness of mortality – and thus renew one’s life.
Author: Miles Reid
Publisher: Cambridge University Press
ISBN: 9780521356626
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. With the minimum of prerequisites, Dr Reid introduces the reader to the basic concepts of algebraic geometry including: plane conics, cubics and the group law, affine and projective varieties, and non-singularity and dimension. He is at pains to stress the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book arises from an undergraduate course given at the University of Warwick and contains numerous examples and exercises illustrating the theory.
Author: Tadao Oda
Publisher: Springer
ISBN: 9783642725494
Category : Mathematics
Languages : en
Pages : 0
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Book Description
The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications found since toric varieties were introduced in the early 1970's. It is an updated and corrected English edition of the author's book in Japanese published by Kinokuniya, Tokyo in 1985. Toric varieties are here treated as complex analytic spaces. Without assuming much prior knowledge of algebraic geometry, the author shows how elementary convex figures give rise to interesting complex analytic spaces. Easily visualized convex geometry is then used to describe algebraic geometry for these spaces, such as line bundles, projectivity, automorphism groups, birational transformations, differential forms and Mori's theory. Hence this book might serve as an accessible introduction to current algebraic geometry. Conversely, the algebraic geometry of toric varieties gives new insight into continued fractions as well as their higher-dimensional analogues, the isoperimetric problem and other questions on convex bodies. Relevant results on convex geometry are collected together in the appendix.
Author: Pamela Sachant
Publisher: Good Press
ISBN:
Category : Art
Languages : en
Pages : 614
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Book Description
Introduction to Art: Design, Context, and Meaning offers a deep insight and comprehension of the world of Art. Contents: What is Art? The Structure of Art Significance of Materials Used in Art Describing Art - Formal Analysis, Types, and Styles of Art Meaning in Art - Socio-Cultural Contexts, Symbolism, and Iconography Connecting Art to Our Lives Form in Architecture Art and Identity Art and Power Art and Ritual Life - Symbolism of Space and Ritual Objects, Mortality, and Immortality Art and Ethics
