Neron Models

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Néron Models

Author : Siegfried Bosch
Publisher : Springer Science & Business Media
ISBN 13 : 3642514383
Total Pages : 336 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Néron Models by : Siegfried Bosch

Download or read book Néron Models written by Siegfried Bosch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.

Néron Models and Base Change

Author : Lars Halvard Halle
Publisher : Springer
ISBN 13 : 3319266381
Total Pages : 151 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Néron Models and Base Change by : Lars Halvard Halle

Download or read book Néron Models and Base Change written by Lars Halvard Halle and published by Springer. This book was released on 2016-03-02 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an indispensable tool in algebraic and arithmetic geometry since Néron introduced them in his seminal 1964 paper. Applications range from the theory of heights in Diophantine geometry to Hodge theory. We focus specifically on Néron component groups, Edixhoven’s filtration and the base change conductor of Chai and Yu, and we study these invariants using various techniques such as models of curves, sheaves on Grothendieck sites and non-archimedean uniformization. We then apply our results to the study of motivic zeta functions of abelian varieties. The final chapter contains a list of challenging open questions. This book is aimed towards researchers with a background in algebraic and arithmetic geometry.

Library of Congress Subject Headings

Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1608 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2009 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Library of Congress Subject Headings

Author : Library of Congress. Cataloging Policy and Support Office
Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress. Cataloging Policy and Support Office

Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Celebration of Algebraic Geometry

Author : Brendan Hassett
Publisher : American Mathematical Soc.
ISBN 13 : 0821889834
Total Pages : 614 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Celebration of Algebraic Geometry by : Brendan Hassett

Download or read book A Celebration of Algebraic Geometry written by Brendan Hassett and published by American Mathematical Soc.. This book was released on 2013-09-11 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

The Arithmetic and Geometry of Algebraic Cycles

Author : B. Brent Gordon
Publisher : Springer Science & Business Media
ISBN 13 : 9780792361947
Total Pages : 652 pages
Book Rating : 4.3/5 (619 download)

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Book Synopsis The Arithmetic and Geometry of Algebraic Cycles by : B. Brent Gordon

Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon and published by Springer Science & Business Media. This book was released on 2000-02-29 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

F-O

Author : Library of Congress. Office for Subject Cataloging Policy
Publisher :
ISBN 13 :
Total Pages : 1636 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis F-O by : Library of Congress. Office for Subject Cataloging Policy

Download or read book F-O written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1990 with total page 1636 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Library of Congress Subject Headings

Author : Library of Congress. Office for Subject Cataloging Policy
Publisher :
ISBN 13 :
Total Pages : 1622 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress. Office for Subject Cataloging Policy

Download or read book Library of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1990 with total page 1622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Motivic Integration

Author : Antoine Chambert-Loir
Publisher : Springer
ISBN 13 : 149397887X
Total Pages : 526 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Motivic Integration by : Antoine Chambert-Loir

Download or read book Motivic Integration written by Antoine Chambert-Loir and published by Springer. This book was released on 2018-09-15 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.

Library of Congress Subject Headings

Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1460 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 1997 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neron Models

Author : Siegfried Bosch
Publisher :
ISBN 13 : 9783642514395
Total Pages : 340 pages
Book Rating : 4.5/5 (143 download)

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Book Synopsis Neron Models by : Siegfried Bosch

Download or read book Neron Models written by Siegfried Bosch and published by . This book was released on 1990-04-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neron models were invented by A. Neron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Neron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Neron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Neron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Neron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Neron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 796 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Asian Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Asian Journal of Mathematics by :

Download or read book The Asian Journal of Mathematics written by and published by . This book was released on 2000 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic Geometry

Author : G. Cornell
Publisher : Springer Science & Business Media
ISBN 13 : 1461386551
Total Pages : 359 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Arithmetic Geometry by : G. Cornell

Download or read book Arithmetic Geometry written by G. Cornell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the result of a (mainly) instructional conference on arithmetic geometry, held from July 30 through August 10, 1984 at the University of Connecticut in Storrs. This volume contains expanded versions of almost all the instructional lectures given during the conference. In addition to these expository lectures, this volume contains a translation into English of Falt ings' seminal paper which provided the inspiration for the conference. We thank Professor Faltings for his permission to publish the translation and Edward Shipz who did the translation. We thank all the people who spoke at the Storrs conference, both for helping to make it a successful meeting and enabling us to publish this volume. We would especially like to thank David Rohrlich, who delivered the lectures on height functions (Chapter VI) when the second editor was unavoidably detained. In addition to the editors, Michael Artin and John Tate served on the organizing committee for the conference and much of the success of the conference was due to them-our thanks go to them for their assistance. Finally, the conference was only made possible through generous grants from the Vaughn Foundation and the National Science Foundation.

Advanced Topics in the Arithmetic of Elliptic Curves

Author : Joseph H. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 1461208513
Total Pages : 482 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advanced Topics in the Arithmetic of Elliptic Curves by : Joseph H. Silverman

Download or read book Advanced Topics in the Arithmetic of Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.

Reviews in Number Theory, 1984-96

Author :
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis Reviews in Number Theory, 1984-96 by :

Download or read book Reviews in Number Theory, 1984-96 written by and published by American Mathematical Society(RI). This book was released on 1997 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews (MR) between 1984 and 1996. This is the third such set of volumes in number theory: the first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.

Resource-Constrained Project Scheduling

Author : Christian Artigues
Publisher : John Wiley & Sons
ISBN 13 : 1118623703
Total Pages : 235 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Resource-Constrained Project Scheduling by : Christian Artigues

Download or read book Resource-Constrained Project Scheduling written by Christian Artigues and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title presents a large variety of models and algorithms dedicated to the resource-constrained project scheduling problem (RCPSP), which aims at scheduling at minimal duration a set of activities subject to precedence constraints and limited resource availabilities. In the first part, the standard variant of RCPSP is presented and analyzed as a combinatorial optimization problem. Constraint programming and integer linear programming formulations are given. Relaxations based on these formulations and also on related scheduling problems are presented. Exact methods and heuristics are surveyed. Computational experiments, aiming at providing an empirical insight on the difficulty of the problem, are provided. The second part of the book focuses on several other variants of the RCPSP and on their solution methods. Each variant takes account of real-life characteristics which are not considered in the standard version, such as possible interruptions of activities, production and consumption of resources, cost-based approaches and uncertainty considerations. The last part presents industrial case studies where the RCPSP plays a central part. Applications are presented in various domains such as assembly shop and rolling ingots production scheduling, project management in information technology companies and instruction scheduling for VLIW processor architectures.