Lectures on N_X (p) /

This book presents several basic techniques in algebraic geometry, group representations, number theory, -adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The text examines the size and congruence properties of...

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Bibliographic Details
Main Author: Serre, Jean-Pierre, 1926 (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, Fla. : CRC Press, 2012.
Series:Research notes in mathematics ; Volume 11
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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100 1 |a Serre, Jean-Pierre,  |d 1926,  |e author. 
245 1 0 |a Lectures on N_X (p) /  |c Jean-Pierre Serre. 
264 1 |a Boca Raton, Fla. :  |b CRC Press,  |c 2012. 
300 |a 1 online resource (ix, 163 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a Research notes in mathematics ;  |v Volume 11 
500 |a An AK Peters book. 
504 |a Includes bibliographical references and indexes. 
505 0 |a chapter 1. Introduction -- chapter 2. Examples -- chapter 3. The Chebotarev density theorem for a number field -- chapter 4. Review of l-adic cohomology -- chapter 5. Auxiliary results on group representations -- chapter 6. The l-adic properties of N_X(p) -- chapter 7. The archimedean properties of N_X(p) -- chapter 8. The Sato-Tate conjecture -- chapter 9. Higher dimension : the prime number theorem and the Chebotarev theorem. 
520 |a This book presents several basic techniques in algebraic geometry, group representations, number theory, -adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The text examines the size and congruence properties of NX(p) and describes the ways in which it is computed. Along with covering open problems and offering simple, illustrative examples, the author presents various theorems, including the Chebotarev density theorem and the prime number theorem--  |c Provided by publisher. 
520 |a The main topic involves counting solutions mod p of a system of polynomial equations, as p varies. The book is based on a series of lectures presented by the author in Taiwan. Using this idea, Serre visits algebra and number theory and asks some non-standard questions, especially on group representations--  |c Provided by publisher. 
650 0 |a Polynomials. 
650 0 |a Representations of groups. 
650 0 |a Number theory. 
650 0 |a Cohomology operations. 
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710 1 |a Taylor & Francis. 
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776 0 8 |i Print version:   |z 9781466501928  |w (DLC) 2011035770 
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