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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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, Fla. :
CRC Press,
2012.
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| Series: | Research notes in mathematics ;
Volume 11 |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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-- 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-- |
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| Item Description: | An AK Peters book. |
| Physical Description: | 1 online resource (ix, 163 pages) |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 9780429067617 |