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Cox Rings

Cox Rings Author Ivan Arzhantsev
ISBN-10 9781316147955
Release 2014-08-29
Pages
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Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces. This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings and its relation to toric geometry; various classes of varieties with group actions; the surface case; and applications in arithmetic problems, in particular Manin's conjecture. The introductory chapters require only basic knowledge in algebraic geometry. The more advanced chapters also touch on algebraic groups, surface theory, and arithmetic geometry. Each chapter ends with exercises and problems. These comprise mini-tutorials and examples complementing the text, guided exercises for topics not discussed in the text, and, finally, several open problems of varying difficulty.



Combinatorial Algebraic Geometry

Combinatorial Algebraic Geometry Author Gregory G. Smith
ISBN-10 9781493974863
Release 2017-11-17
Pages 390
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This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.



Singularities of the Minimal Model Program

Singularities of the Minimal Model Program Author János Kollár
ISBN-10 9781107311473
Release 2013-02-21
Pages
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This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.



Algebraic Geometry Salt Lake City 2015 Part 1

Algebraic Geometry  Salt Lake City 2015  Part 1 Author Tommaso de Fernex
ISBN-10 9781470435776
Release 2018-06-01
Pages 655
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This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.



Algebraic Theory of Locally Nilpotent Derivations

Algebraic Theory of Locally Nilpotent Derivations Author Gene Freudenburg
ISBN-10 9783662553503
Release 2017-09-08
Pages 319
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This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. These are used to establish classical results, such as Rentschler's Theorem for the plane and the Cancellation Theorem for Curves. More recent results, such as Makar-Limanov's theorem for locally nilpotent derivations of polynomial rings, are also discussed. Topics of special interest include progress in classifying additive actions on three-dimensional affine space, finiteness questions (Hilbert's 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. A lot of new material is included in this expanded second edition, such as canonical factorization of quotient morphisms, and a more extended treatment of linear actions. The reader will also find a wealth of examples and open problems and an updated resource for future investigations.



An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces Author Vern I. Paulsen
ISBN-10 9781316558737
Release 2016-04-11
Pages
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Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.



Lectures on Lyapunov Exponents

Lectures on Lyapunov Exponents Author Marcelo Viana
ISBN-10 9781316062692
Release 2014-07-24
Pages
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The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.



Commutative Ring Theory

Commutative Ring Theory Author H. Matsumura
ISBN-10 0521367646
Release 1989-05-25
Pages 320
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This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.



Annales Scientifiques de L cole Normale Sup rieure

Annales Scientifiques de L   cole Normale Sup  rieure Author
ISBN-10 UOM:39015072629259
Release 2007
Pages
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Annales Scientifiques de L cole Normale Sup rieure has been writing in one form or another for most of life. You can find so many inspiration from Annales Scientifiques de L cole Normale Sup rieure also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Annales Scientifiques de L cole Normale Sup rieure book for free.



Algebra Number Theory

Algebra   Number Theory Author
ISBN-10 UCSD:31822036938454
Release 2008
Pages
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Algebra Number Theory has been writing in one form or another for most of life. You can find so many inspiration from Algebra Number Theory also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Algebra Number Theory book for free.



Official Gazette

Official Gazette Author
ISBN-10 WISC:89119246379
Release 2011
Pages
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Official Gazette has been writing in one form or another for most of life. You can find so many inspiration from Official Gazette also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Official Gazette book for free.



Computational Methods for Representations of Groups and Algebras

Computational Methods for Representations of Groups and Algebras Author P. Dräxler
ISBN-10 UOM:39015043001216
Release 1999
Pages 357
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Computational Methods for Representations of Groups and Algebras has been writing in one form or another for most of life. You can find so many inspiration from Computational Methods for Representations of Groups and Algebras also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Computational Methods for Representations of Groups and Algebras book for free.



Books in Print Supplement

Books in Print Supplement Author
ISBN-10 STANFORD:36105210120395
Release 1985
Pages
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Books in Print Supplement has been writing in one form or another for most of life. You can find so many inspiration from Books in Print Supplement also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Books in Print Supplement book for free.



Proceedings of the Thirty Third IEEE Conference on Decision and Control

Proceedings of the Thirty Third IEEE Conference on Decision and Control Author IEEE Control Systems Society
ISBN-10 0780319680
Release 1994
Pages 4252
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Proceedings of the Thirty Third IEEE Conference on Decision and Control has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of the Thirty Third IEEE Conference on Decision and Control also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of the Thirty Third IEEE Conference on Decision and Control book for free.



Proceedings of the International Symposium Symbolic and Algebraic Computation

Proceedings of the     International Symposium Symbolic and Algebraic Computation Author Bernard Mourrain
ISBN-10 1581134177
Release 2001
Pages 352
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Proceedings of the International Symposium Symbolic and Algebraic Computation has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of the International Symposium Symbolic and Algebraic Computation also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of the International Symposium Symbolic and Algebraic Computation book for free.



Scientific and Technical Books and Serials in Print 1989

Scientific and Technical Books and Serials in Print 1989 Author Bowker Editorial Staff
ISBN-10 0835225550
Release 1988
Pages 4665
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The British National Bibliography

The British National Bibliography Author Arthur James Wells
ISBN-10 STANFORD:36105117839352
Release 1996
Pages
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