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Author: Jan Nagel
Publisher: Cambridge University Press
ISBN: 0521701740
Category : Mathematics
Languages : en
Pages : 293
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Book Description
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.
Author: Jan Nagel
Publisher: Cambridge University Press
ISBN: 0521701740
Category : Mathematics
Languages : en
Pages : 293
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Book Description
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.
Author: Phillip Griffiths
Publisher: Princeton University Press
ISBN: 0691083398
Category : Mathematics
Languages : en
Pages : 327
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Book Description
A classic treatment of transcendental algebraic geometry from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Luis Edoardo Lopez
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Mark L. Green
Publisher: Springer Science & Business Media
ISBN: 9783540586920
Category : Mathematics
Languages : en
Pages : 292
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Book Description
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.
Author: B. Brent Gordon
Publisher: Springer Science & Business Media
ISBN: 9780792361947
Category : Mathematics
Languages : en
Pages : 652
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Book Description
The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.
Author: Piotr Pragacz
Publisher: Springer Science & Business Media
ISBN: 3764373423
Category : Mathematics
Languages : en
Pages : 321
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Book Description
The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis
Author: Fumio Hazama
Publisher: World Scientific
ISBN: 9814549703
Category :
Languages : en
Pages : 114
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Book Description
This book presents the results of Cleverbio, a project funded by the European Commission. The project examined the process of growth and development of clusters in the biotech industry, identifying and studying the main driving forces. The empirical work involved in-depth analysis of five clusters at different stages of development: Cambridge, the most important cluster in Europe; Heidelberg, one of the strongest in Germany; Aarhus in Denmark; Marseille in France; and Milano in Italy at an early stage of development. Other clusters were also analysed, such as Paris-Evry (France), Uppsala (Sweden), Biovalley (Switzerland), Bay Area and San Diego (US).The ultimate aim of Cleverbio has been to build a normative model that incorporates:• the preconditions for a cluster to grow (scientific base and/or industrial base, innovative financing, etc.);• the driving forces for cluster growth and development, i.e. the key factors of development (new company creation, IP rules, acceptance of biotech products, services and infrastructures, etc.);• best practices in cluster management (barrier removal, network creation, marketing, technology transfer, etc.).The book also identifies different forms of cluster creation. In some cases clusters were born and grew spontaneously as a consequence of the original co-presence of the key success factors (spontaneous clusters); in other cases they were born of the actions of public actors (industry restructuring and industry development policies). Finally, in a few cases, the process of clustering started as a result of a combination of different original conditions (hybrid clusters)./a
Author: Shiing-Shen Chern
Publisher: World Scientific
ISBN: 9810249543
Category : Mathematics
Languages : en
Pages : 276
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Book Description
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.
Author: Piotr Pragacz
Publisher: Springer Science & Business Media
ISBN: 3764385375
Category : Mathematics
Languages : en
Pages : 240
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Book Description
Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.
Author: Jan Nagel
Publisher:
ISBN: 9781107365438
Category : Algebraic cycles
Languages : en
Pages : 292
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Book Description
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here.
