Beilinsons Conjectures On Special Values Of L Functions PDF Download
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| Author | : M. Rapoport |
| Publisher | : Academic Press |
| Total Pages | : 399 |
| Release | : 2014-07-14 |
| Genre | : Mathematics |
| ISBN | : 1483263304 |
Download Beilinson's Conjectures on Special Values of L-Functions Book in PDF, ePub and Kindle
Beilinson's Conjectures on Special Values of L-Functions deals with Alexander Beilinson's conjectures on special values of L-functions. Topics covered range from Pierre Deligne's conjecture on critical values of L-functions to the Deligne-Beilinson cohomology, along with the Beilinson conjecture for algebraic number fields and Riemann-Roch theorem. Beilinson's regulators are also compared with those of Émile Borel. Comprised of 10 chapters, this volume begins with an introduction to the Beilinson conjectures and the theory of Chern classes from higher k-theory. The "simplest" example of an L-function is presented, the Riemann zeta function. The discussion then turns to Deligne's conjecture on critical values of L-functions and its connection to Beilinson's version. Subsequent chapters focus on the Deligne-Beilinson cohomology; ?-rings and Adams operations in algebraic k-theory; Beilinson conjectures for elliptic curves with complex multiplication; and Beilinson's theorem on modular curves. The book concludes by reviewing the definition and properties of Deligne homology, as well as Hodge-D-conjecture. This monograph should be of considerable interest to researchers and graduate students who want to gain a better understanding of Beilinson's conjectures on special values of L-functions.
| Author | : Uwe Jannsen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 766 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 0821827979 |
Download Motives Book in PDF, ePub and Kindle
'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.
| Author | : J. Coates |
| Publisher | : Cambridge University Press |
| Total Pages | : 404 |
| Release | : 1991-02-22 |
| Genre | : Mathematics |
| ISBN | : 0521386195 |
Download L-Functions and Arithmetic Book in PDF, ePub and Kindle
Aimed at presenting nontechnical explanations, all the essays in this collection of papers from the 1989 LMS Durham Symposium on L-functions are the contributions of renowned algebraic number theory specialists.
| Author | : Cristian Popescu |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 517 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 0821886983 |
Download Arithmetic of L-functions Book in PDF, ePub and Kindle
| Author | : Wilfred W. J. Hulsbergen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 247 |
| Release | : 2013-06-29 |
| Genre | : Technology & Engineering |
| ISBN | : 3663095053 |
Download Conjectures in Arithmetic Algebraic Geometry Book in PDF, ePub and Kindle
In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.
| Author | : S. Müller-Stach |
| Publisher | : Cambridge University Press |
| Total Pages | : 314 |
| Release | : 2004-04-20 |
| Genre | : Mathematics |
| ISBN | : 9780521545471 |
Download Transcendental Aspects of Algebraic Cycles Book in PDF, ePub and Kindle
Lecture notes for graduates or researchers wishing to enter this modern field of research.
| Author | : David Burns |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 234 |
| Release | : 2004 |
| Genre | : Education |
| ISBN | : 0821834800 |
Download Stark's Conjectures: Recent Work and New Directions Book in PDF, ePub and Kindle
Stark's conjectures on the behavior of USDLUSD-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to themes currently under exploration in the area, such as non-abelian and USDpUSD-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and interested in number theory.
| Author | : B. Brent Gordon |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 468 |
| Release | : 2000-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821870204 |
Download The Arithmetic and Geometry of Algebraic Cycles Book in PDF, ePub and Kindle
From the June 1998 Summer School come 20 contributions that explore algebraic cycles (a subfield of algebraic geometry) from a variety of perspectives. The papers have been organized into sections on cohomological methods, Chow groups and motives, and arithmetic methods. Some specific topics include logarithmic Hodge structures and classifying spaces; Bloch's conjecture and the K-theory of projective surfaces; and torsion zero-cycles and the Abel-Jacobi map over the real numbers.
| Author | : Ernesto Lupercio |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 240 |
| Release | : 2014-08-05 |
| Genre | : Mathematics |
| ISBN | : 0821894943 |
Download The Influence of Solomon Lefschetz in Geometry and Topology Book in PDF, ePub and Kindle
The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.
| Author | : Michiel Hazewinkel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 540 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 9400959885 |
Download Encyclopaedia of Mathematics Book in PDF, ePub and Kindle
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
