Author: Shigeru Mukai
Publisher: Advanced Studies in Pure Mathe
ISBN:
Size: 30.83 MB
Format: PDF, Docs
Category : Mathematics
Languages : un
Pages : 432
View: 6837

## Moduli Spaces And Arithmetic Geometry Kyoto 2004

by Shigeru Mukai, Moduli Spaces And Arithmetic Geometry Kyoto 2004 Books available in PDF, EPUB, Mobi Format. Download Moduli Spaces And Arithmetic Geometry Kyoto 2004 book, Since its birth algebraic geometry has been closely related to and deeply motivated by number theory. Particularly the modern study of moduli spaces and arithmetic geometry have many important techniques and ideas in common. With this close relation in mind, the RIMS conference Moduli Spaces and Arithmetic Geometry was held at Kyoto University during September 8-15, 2004 as the 13th International Research Institute of the Mathematical Society of Japan. This volume is the outcome of this conference and consists of thirteen papers by invited speakers, including C Soulé, A Beauville and C Faber, and participants. All papers, with two exceptions by C Voisin and Yoshinori Namikawa, treat moduli problem and/or arithmetic geometry. Algebraic curves, Abelian varieties, algebraic vector bundles, connections and D-modules are the subjects of those moduli papers. Arakelov geometry and rigid geometry are studied in arithmetic papers. In the two exceptions, integral Hodge classes on Calabi-Yau threefolds and symplectic resolutions of nilpotent orbits are studied.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Author: Martin A. Guest
Publisher: Advanced Studies in Pure Mathe
ISBN:
Size: 40.94 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 510
View: 4616

## Surveys On Geometry And Integrable Systems

by Martin A. Guest, Surveys On Geometry And Integrable Systems Books available in PDF, EPUB, Mobi Format. Download Surveys On Geometry And Integrable Systems book, The articles in this volume provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but currently branching out in all directions.The longer articles by Bobenko (the Bonnet problem), Dorfmeister (the generalized Weierstrass representation), Joyce (special Lagrangian 3-folds) and Terng (geometry of soliton equations) are substantial surveys of several aspects of the subject. The shorter ones indicate more briefly how the classical ideas have spread throughout differential geometry, symplectic geometry, algebraic geometry, and theoretical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

# [PDF] Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1 Download Full

Author: Raf Cluckers
Publisher: Cambridge University Press
ISBN: 1139499793
Size: 18.68 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 346
View: 1135

## Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1

by Raf Cluckers, Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1 Books available in PDF, EPUB, Mobi Format. Download Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1 book, The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces.

Author: Claude Mitschi
Publisher: Springer
ISBN: 3319287362
Size: 10.77 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 298
View: 6626

## Divergent Series Summability And Resurgence I

by Claude Mitschi, Divergent Series Summability And Resurgence I Books available in PDF, EPUB, Mobi Format. Download Divergent Series Summability And Resurgence I book, Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.

Author: Lizhen Ji
Publisher: American Mathematical Soc.
ISBN: 0821875868
Size: 55.32 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 999
View: 5525

## Fifth International Congress Of Chinese Mathematicians

by Lizhen Ji, Fifth International Congress Of Chinese Mathematicians Books available in PDF, EPUB, Mobi Format. Download Fifth International Congress Of Chinese Mathematicians book, This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.

Author: Marco Fontana
Publisher: Springer
ISBN: 1493909258
Size: 41.95 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 375
View: 2730

## Commutative Algebra

by Marco Fontana, Commutative Algebra Books available in PDF, EPUB, Mobi Format. Download Commutative Algebra book, This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions. Specific topics include: · Homological dimensions of Prüfer-like rings · Quasi complete rings · Total graphs of rings · Properties of prime ideals over various rings · Bases for integer-valued polynomials · Boolean subrings · The portable property of domains · Probabilistic topics in Intn(D) · Closure operations in Zariski-Riemann spaces of valuation domains · Stability of domains · Non-Noetherian grade · Homotopy in integer-valued polynomials · Localizations of global properties of rings · Topics in integral closure · Monoids and submonoids of domains The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.

Author: Dominic D. Joyce
Publisher: American Mathematical Soc.
ISBN: 0821852795
Size: 17.29 MB
Format: PDF, ePub
Category : Calabi-Yau manifolds
Languages : en
Pages : 199
View: 5981

## A Theory Of Generalized Donaldson Thomas Invariants

by Dominic D. Joyce, A Theory Of Generalized Donaldson Thomas Invariants Books available in PDF, EPUB, Mobi Format. Download A Theory Of Generalized Donaldson Thomas Invariants book, This book studies generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. They are rational numbers which `count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern character $\alpha$ on $X$; strictly $\tau$-semistable sheaves must be counted with complicated rational weights. The $\bar{DT}{}^\alpha(\tau)$ are defined for all classes $\alpha$, and are equal to $DT^\alpha(\tau)$ when it is defined. They are unchanged under deformations of $X$, and transform by a wall-crossing formula under change of stability condition $\tau$. To prove all this, the authors study the local structure of the moduli stack $\mathfrak M$ of coherent sheaves on $X$. They show that an atlas for $\mathfrak M$ may be written locally as $\mathrm{Crit}(f)$ for $f:U\to{\mathbb C}$ holomorphic and $U$ smooth, and use this to deduce identities on the Behrend function $\nu_\mathfrak M$. They compute the invariants $\bar{DT}{}^\alpha(\tau)$ in examples, and make a conjecture about their integrality properties. They also extend the theory to abelian categories $\mathrm{mod}$-$\mathbb{C}Q\backslash I$ of representations of a quiver $Q$ with relations $I$ coming from a superpotential $W$ on $Q$.

Author: Kazuhiro Konno
Publisher: Advanced Studies in Pure Mathe
ISBN:
Size: 43.97 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 344
View: 6086

## Algebraic Geometry In East Asia

by Kazuhiro Konno, Algebraic Geometry In East Asia Books available in PDF, EPUB, Mobi Format. Download Algebraic Geometry In East Asia book, This volume contains two survey articles and eight research articles contributed by the invited lecturers at the conference Algebraic Geometry in East Asia. II, which was held at the Conference Hall (Hanoi, Vietnam) from October 10-14, 2005. Topics touched upon in this volume include Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo-Weil lattices, etc. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects presented by leading algebraic geometers.

Author: R. C. Penner
Publisher: Advanced Studies in Pure Mathe
ISBN:
Size: 69.90 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 524
View: 4287

## Groups Of Diffeomorphisms

by R. C. Penner, Groups Of Diffeomorphisms Books available in PDF, EPUB, Mobi Format. Download Groups Of Diffeomorphisms book, This volume is dedicated to Shigeyuki Morita on the occasion of his 60th birthday. It consists of selected papers on recent trends and results in the study of various groups of diffeomorphisms, including mapping class groups, from the point of view of algebraic and differential topology, as well as dynamical ones involving foliations and symplectic or contact diffeomorphisms. Most of the authors were invited speakers or participants of the International Symposium on Groups of Diffeomorphisms 2006, which was held at the University of Tokyo (Komaba) in September 2006. The editors believe that the scope of this volume well reflects Morita's mathematical interests and hope this book inspires not only the specialists in these fields but also a wider audience of mathematicians.

Author: Saber Elaydi
Publisher: Advanced Studies in Pure Mathe
ISBN:
Size: 16.20 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 398
View: 6622

## Advances In Discrete Dynamical Systems

by Saber Elaydi, Advances In Discrete Dynamical Systems Books available in PDF, EPUB, Mobi Format. Download Advances In Discrete Dynamical Systems book, This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006). ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute. These proceedings comprise new results at the leading edge of many areas in difference equations and discrete dynamical systems and their various applications to the sciences, engineering, physics, and economics.