Transcendental Aspects of Algebraic Cycles

Transcendental Aspects of Algebraic Cycles PDF Author: S. Müller-Stach
Publisher: Cambridge University Press
ISBN: 9780521545471
Category : Mathematics
Languages : en
Pages : 314

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Book Description
Lecture notes for graduates or researchers wishing to enter this modern field of research.

Topics in Transcendental Algebraic Geometry

Topics in Transcendental Algebraic Geometry PDF 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.

Algebraic Cycles and Hodge Theory

Algebraic Cycles and Hodge Theory PDF Author: Mark L. Green
Publisher: Springer
ISBN: 9783540586920
Category : Mathematics
Languages : en
Pages : 276

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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.

Algebraic Cycles and Hodge Theory

Algebraic Cycles and Hodge Theory PDF Author: Mark L. Green
Publisher: Springer
ISBN: 3540490469
Category : Mathematics
Languages : en
Pages : 281

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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.

The Arithmetic and Geometry of Algebraic Cycles

The Arithmetic and Geometry of Algebraic Cycles PDF Author: B. Brent Gordon
Publisher: Springer Science & Business Media
ISBN: 9401140987
Category : Mathematics
Languages : en
Pages : 631

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Book Description
The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic ipants. In addition, participants' reprints and preprints were displayed through out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction.

The Geometry of Algebraic Cycles

The Geometry of Algebraic Cycles PDF Author: Reza Akhtar
Publisher: American Mathematical Soc.
ISBN: 0821851918
Category : Mathematics
Languages : en
Pages : 202

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Book Description
The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.

Some Transcendental Methods in the Study of Algebraic Cycles

Some Transcendental Methods in the Study of Algebraic Cycles PDF Author: Phillip A. Griffiths
Publisher:
ISBN:
Category :
Languages : en
Pages : 59

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Book Description


Regular and Irregular Holonomic D-Modules

Regular and Irregular Holonomic D-Modules PDF Author: Masaki Kashiwara
Publisher: Cambridge University Press
ISBN: 1316613453
Category : Mathematics
Languages : en
Pages : 119

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Book Description
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.

Recent Advances in Hodge Theory

Recent Advances in Hodge Theory PDF Author: Matt Kerr
Publisher: Cambridge University Press
ISBN: 1316531392
Category : Mathematics
Languages : en
Pages : 533

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Book Description
In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture. Its mixture of high-quality expository and research articles make it a useful resource for graduate students and seasoned researchers alike.

An Introduction to Galois Cohomology and its Applications

An Introduction to Galois Cohomology and its Applications PDF Author: Grégory Berhuy
Publisher: Cambridge University Press
ISBN: 1139490885
Category : Mathematics
Languages : en
Pages : 328

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Book Description
This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.