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Ulrich Bundles

Author: Laura Costa

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2021-05-10

Total Pages: 283

ISBN-13: 3110645807

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Analytic and Algebraic Geometry

Author: Anilatmaja Aryasomayajula

Publisher: Springer

Published: 2017-09-08

Total Pages: 292

ISBN-13: 981105648X

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This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.

Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Author: Gert-Martin Greuel

Publisher: Springer

Published: 2018-09-18

Total Pages: 604

ISBN-13: 3319968270

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This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Commutative Algebra and its Interactions to Algebraic Geometry

Author: Nguyen Tu CUONG

Publisher: Springer

Published: 2018-08-02

Total Pages: 258

ISBN-13: 331975565X

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This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties.

New Trends in Noncommutative Algebra

Author: Ara, Pere

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 326

ISBN-13: 0821852973

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This volume contains the proceedings of the conference `New Trends in Noncommutative Algebra', held at the University of Washington, Seattle, in August 2010. The articles will provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Calabi-Yau algebras, quantum algebras and deformation quantization, Poisson algebras, group algebras, and noncommutative Iwasawa algebras.

Algebraic Geometry

Author: Ulrich Görtz

Publisher: Springer Science & Business Media

Published: 2010-08-09

Total Pages: 615

ISBN-13: 3834897221

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This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.

Issues in Algebra, Geometry, and Topology: 2013 Edition

Author:

Publisher: ScholarlyEditions

Published: 2013-05-01

Total Pages: 1099

ISBN-13: 1490111069

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Issues in Algebra, Geometry, and Topology / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Topology. The editors have built Issues in Algebra, Geometry, and Topology: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Topology in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Cycloaddition Reactions of Heterocumulenes

Author: Henri Ulrich

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 375

ISBN-13: 0323162762

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Cycloaddition Reactions of Heterocumulenes reviews cycloaddition reactions, particularly on hetercocumulenes having "four-electron" bonds. This book discusses the chemical relationship among the various classes of heterocumulenes, including their chemical reactivity which ranges from highly reactive species to nearly inert compounds. This text also investigates the nucleophilic reactions of ketenes and isocyanates with suitable substrates, and if possible, correlates available data with the reactivity of these species in cycloaddition reactions. This book also investigates the cycloaddition reactions of carbon suboxide and other aspects of its chemistry due to the presence of many other interrelated reactions. The synthetic organic chemist should also investigate the application of isocyanate reactions associated with the cumulative double bonds. This text investigates carbodiimides as useful reagents for peptide synthesis, and notes that the stability of carbodiimides increases significantly with sterical hindrance around the cumulative double bond system. This book discusses three compounds that have a central electrophilic carbon atom, namely, carbon dioxide, carbonyl sulfide, and carbon disulfide. The book also describes the cycloaddition reactions of sulfenes, of N-sulfinylamines, of N-sulfinylsulfonamides, and of sulfurdiimides. This book can prove useful for researchers, technicians, and scientists whose works involve organic chemistry, analytical chemistry, and other related fields of chemistry.

Multigrid Methods

Author: Ulrich Trottenberg

Publisher: Academic Press

Published: 2001

Total Pages: 652

ISBN-13: 9780127010700

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Mathematics of Computing -- Numerical Analysis.

Development of Packaging and Products for Use in Microwave Ovens

Author: Peter Pesheck

Publisher: Elsevier

Published: 2009-07-30

Total Pages: 406

ISBN-13: 1845696573

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The efficient design of microwave food products and associated packaging materials for optimum food quality and safety requires knowledge of product dielectric properties and associated heating mechanisms, careful consideration of product geometry, knowledge of modern packaging and ingredient technologies, and application of computer simulation, statistics and experimental design. Integrated knowledge and efficient application of these tools is essential for those developing food products in this demanding field. Development of packaging and products for use in microwave ovens provides a focused and comprehensive review for developers. Part one discusses the principles of microwave heating and ovens, with an emphasis on the effect of food dielectric properties and geometry on heating uniformity and optimising the flavours and colours of microwave foods. Microwave packaging materials and design are discussed in Part two; chapters cover rigid packaging, susceptors and shielding. Product development, food, packaging and oven safety is the topic of Part three. Computer modelling of microwave products and active packaging is discussed in Part four. Written by a distinguished team of international contributors, Development of packaging and products for use in microwave ovens is a valuable resource for those in the food and packaging industries. Comprehensively reviews the principles of microwave heating and ovens assessing the effect of food dielectric properties on heating uniformity Thoroughly reviews microwave packaging materials and design including testing and regulatory issues Features a seven page section of colour diagrams to show heat distributions