3 edition of **The Arithmetic and Geometry of Algebraic Cycles** found in the catalog.

- 116 Want to read
- 29 Currently reading

Published
**January 2000**
by American Mathematical Society
.

Written in English

- Algebraic geometry,
- Algebraic number theory,
- Geometry - Algebraic,
- Mathematics,
- Science/Mathematics,
- Algebraic cycles,
- Congresses

**Edition Notes**

Contributions | B. Brent Gordon (Editor), James D. Lewis (Editor), Stefan Muller-Stach (Editor), Shuji Saito (Editor), Noriko Yui (Editor) |

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 432 |

ID Numbers | |

Open Library | OL9454375M |

ISBN 10 | 0821819542 |

ISBN 10 | 9780821819548 |

Everything about Arithmetic geometry. Silverman, and Stevens. A similar book is "Arithmetic Geometry" by Cornell and Silverman; this book takes a much more geometric approach, while the former focuses more heavily on algebraic aspects. level 1. an important invariant in studying algebraic cycles. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

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. Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, Paperback. Condition: New. Language: English. Brand new Book. Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important Range: £ - £

aic-geometry reference-request algebraic-groups arithmetic-geometry algebraic-cycles. asked Feb 9 '18 at user 2. votes. 0answers Newest algebraic-cycles questions feed To subscribe to this RSS feed, copy and paste this URL into your . Publisher Summary. This chapter presents an analysis of the cusps on Hilbert modular varieties and values of presents an explicit formula for φ(M,V) in terms of the triangulation of R n −1 /V generalizing Hirzebruch's formula in the case n = 2. The chapter discusses a new idea for calculating L(M, V, 1) that would lead to the same closed formula for L(M, V,1) as for φ(M, V).

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ISBN: OCLC Number: Notes: Proceeding of the NATO Advanced Study Institute on the Arithmetic and Geometry of Algebraic Cycles, Banff, Albert, Canada JuneT.p. verso. 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 J This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually.

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 J This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually 5/5(1).

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 J This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the.

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation.

In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. In more abstract terms, arithmetic geometry can be defined as the study of schemes of finite type over the spectrum of the ring of integers.

The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic methods. As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic \(K\)-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology.

Get this from a library. The Arithmetic and Geometry of Algebraic Cycles. [B Brent Gordon; James D Lewis; Stefan Müller-Stach; Shuji Saito; Noriko Yui] -- 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. Download Citation | Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry | Warning: This chapter is full of conjectures. If you are allergic to them it may be harmful to your health.

Parts Author: Bruno Kahn. This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic of the theory is in the form of proposed conjectures, which can be related at various levels of generality.

Diophantine geometry in general is the study of algebraic varieties V over. Reading this book will give one a deep appreciation of how difficult it is to do algebraic topology in algebraic geometry, requiring formidable technical machinery.

The use of K-theory in topology and algebra goes back half a century, beginning with the K-theory of CW-complexes and the construction of Atiyah and Hirzebruch of spectral sequences Cited by: From the June 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 : $ One lecture series offers an introduction to these objects.

The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry. Introduction to Arithmetic Geometry by Andrew V.

Sutherland. This note explains the following topics: Diophantine equations, Algebraic curves, The projective plane, Genus, Birational equivalence, The elliptic curve group law, Rational points on elliptic curves, The Sato-Tate conjecture, The Birch and Swinnerton-Dyer conjecture, Fermat’s Last Theorem, Jacobians of curves.

The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology.

Questions tagged [arithmetic-geometry] Ask Question Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

In arithmetic geometry, it is often very interesting to assoicate arithmetic-geometry algebraic-number-theory galois-representations rigid-analytic-geometry berkovich-geometry. asked Mar 11 at. The arithmetic and geometry of algebraic cycles: proceedings of the CRM summer school, June, Banff, Alberta, Canada | B.

Brent Gordon, James D. Lewis, Stefan Müller-Stach, Shuji Saito, Noriko Yui (editors) | download | B–OK. Download books for free. Find books. Arithmetic Geometry Books. some of the resources in this section can be viewed online and some of them can be downloaded.

A Generalized Arithmetic Geometric Mean. This note explains the following topics: Classical arithmetic geometry, The Convergence Theorem, The link with the classical AGM sequence, Point counting on elliptic curves, A.

Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics) by Qing Liu and a great selection of related books, art and collectibles available now at All members of a family of algebraic subvarieties (or, respectively, algebraic cycles) of a projective variety $ X $, parametrized by a connected base, have the same Hilbert polynomial (respectively, virtual arithmetic genus).

Two algebraic cycles $ Z $ and $ Z ^ \prime $ on a variety $ X $ are algebraically equivalent (which is denoted by $ Z. Questions tagged [arithmetic-geometry] Ask Question A subject that lies at the intersection of algebraic geometry and number theory dealing with varieties, the Mordell conjecture, Arakelov theory, and.

The NOOK Book (eBook) of the Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic by Matt Kerr at Barnes & Author: Matt Kerr.I think Algebraic Geometry is too broad a subject to choose only one book.

But my personal choices for the BEST BOOKS are. UNDERGRADUATE: Beltrametti et al. "Lectures on Curves, Surfaces and Projective Varieties" which starts from the very beginning with a classical geometric style.

Very complete (proves Riemann-Roch for curves in an easy language) and concrete in classic constructions needed.