東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Drinfeld modules

Papikian, Mihran.

FindBook

Google Book

Amazon

博客來

Drinfeld modules

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Drinfeld modules/ by Mihran Papikian.
作者:	Papikian, Mihran.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xxi, 526 p. :ill., digital ;24 cm.
內容註:	Preface -- Acknowledgements -- Notation and Conventions -- Chapter 1. Algebraic Preliminaries -- Chapter 2. Non-Archimedean Fields -- Chapter 3. Basic Properties of Drinfeld Modules -- Chapter 4. Drinfeld Modules over Finite Fields -- Chapter 5. Analytic Theory of Drinfeld Modules -- Chapter 6. Drinfeld Modules over Local Fields -- Chapter 7. Drinfeld Modules over Global Fields -- Appendix A. Drinfeld modules for general function rings -- Appendix B. Notes on exercises -- Bibliography -- Index.
Contained By:	Springer Nature eBook
標題:	Drinfeld modules. -
電子資源:	https://doi.org/10.1007/978-3-031-19707-9
ISBN:	9783031197079

Drinfeld modules
Papikian, Mihran.

Drinfeld modules[electronic resource] /by Mihran Papikian. - Cham :Springer International Publishing :2023. - xxi, 526 p. :ill., digital ;24 cm. - Graduate texts in mathematics,v. 2962197-5612 ;. - Graduate texts in mathematics ;v. 296..

Preface -- Acknowledgements -- Notation and Conventions -- Chapter 1. Algebraic Preliminaries -- Chapter 2. Non-Archimedean Fields -- Chapter 3. Basic Properties of Drinfeld Modules -- Chapter 4. Drinfeld Modules over Finite Fields -- Chapter 5. Analytic Theory of Drinfeld Modules -- Chapter 6. Drinfeld Modules over Local Fields -- Chapter 7. Drinfeld Modules over Global Fields -- Appendix A. Drinfeld modules for general function rings -- Appendix B. Notes on exercises -- Bibliography -- Index.

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic.

ISBN: 9783031197079

Standard No.: 10.1007/978-3-031-19707-9doiSubjects--Topical Terms:

698349
Drinfeld modules.

LC Class. No.: QA247.3

Dewey Class. No.: 512.42

Drinfeld modules
LDR:02726nmm a2200337 a 4500 001 2317821
003 DE-He213
005 20230331190846.0
006 m d
007 cr nn 008maaau
008 230902s2023 sz s 0 eng d
020 $a 9783031197079 $q (electronic bk.)
020 $a 9783031197062 $q (paper)
024 7 $a 10.1007/978-3-031-19707-9 $2 doi
035 $a 978-3-031-19707-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA247.3
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.42 $2 23
090 $a QA247.3 $b .P215 2023
100 1 $a Papikian, Mihran. $3 3632341
245 1 0 $a Drinfeld modules $h [electronic resource] / $c by Mihran Papikian.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xxi, 526 p. : $b ill., digital ; $c 24 cm.
490 1 $a Graduate texts in mathematics, $x 2197-5612 ; $v v. 296
505 0 $a Preface -- Acknowledgements -- Notation and Conventions -- Chapter 1. Algebraic Preliminaries -- Chapter 2. Non-Archimedean Fields -- Chapter 3. Basic Properties of Drinfeld Modules -- Chapter 4. Drinfeld Modules over Finite Fields -- Chapter 5. Analytic Theory of Drinfeld Modules -- Chapter 6. Drinfeld Modules over Local Fields -- Chapter 7. Drinfeld Modules over Global Fields -- Appendix A. Drinfeld modules for general function rings -- Appendix B. Notes on exercises -- Bibliography -- Index.
520 $a This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic.
650 0 $a Drinfeld modules. $3 698349
650 1 4 $a Number Theory. $3 891078
650 2 4 $a Algebra. $3 516203
650 2 4 $a Algebraic Geometry. $3 893861
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Graduate texts in mathematics ; $v v. 296. $3 3632342
856 4 0 $u https://doi.org/10.1007/978-3-031-19707-9
950 $a Mathematics and Statistics (SpringerNature-11649)