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Differential Galois theory through R...

Sauloy, Jacques.

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Differential Galois theory through Riemann-Hilbert correspondence : = an elementary introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential Galois theory through Riemann-Hilbert correspondence :/ Jacques Sauloy.
其他題名:	an elementary introduction /
作者:	Sauloy, Jacques.
面頁冊數:	1 online resource (pages cm.)
標題:	Galois theory. -
電子資源:	http://www.ams.org/gsm/177
電子資源:	https://doi.org/10.1090/gsm/177
ISBN:	9781470435936 (online)

Differential Galois theory through Riemann-Hilbert correspondence : = an elementary introduction /
Sauloy, Jacques.

Differential Galois theory through Riemann-Hilbert correspondence :an elementary introduction /[electronic resource] Jacques Sauloy. - 1 online resource (pages cm.) - Graduate Studies in Mathematics, v. 177.

Includes bibliographical references and index.

Chapter 1. The complex exponential function

Access is restricted to licensed institutions

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2016

Mode of access : World Wide Web

ISBN: 9781470435936 (online)Subjects--Topical Terms:

523821
Galois theory.

LC Class. No.: QA214 / .S28 2016

Dewey Class. No.: 512/.32

Differential Galois theory through Riemann-Hilbert correspondence : = an elementary introduction /
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504 $a Includes bibliographical references and index.
505 0 0 $t Chapter 1. The complex exponential function $t Chapter 2. Power series $t Chapter 3. Analytic functions $t Chapter 4. The complex logarithm $t Chapter 5. From the local to the global $t Chapter 6. Two basic equations and their monodromy $t Chapter 7. Linear complex analytic differential equations $t Chapter 8. A functorial point of view on analytic continuation: Local systems $t Chapter 9. Regular singular points and the local Riemann-Hilbert correspondence $t Chapter 10. Local Riemann-Hilbert correspondence as an equivalence of categories $t Chapter 11. Hypergeometric series and equations $t Chapter 12. The global Riemann-Hilbert correspondence $t Chapter 13. Local differential Galois theory $t Chapter 14. The local Schlesinger density theorem $t Chapter 15. The universal (Fuchsian local) Galois group $t Chapter 16. The universal group as proalgebraic hull of the fundamental group $t Chapter 17. Beyond local Fuchsian differential Galois theory $t Appendix A. Another proof of the surjectivity of $\mathrm {exp}:\mathrm {Mat}_n(\mathbf {C})\rightarrow \mathrm {GL}_n(\mathbf {C})$ $t Appendix B. Another construction of the logarithm of a matrix $t Appendix C. Jordan decomposition in a linear algebraic group $t Appendix D. Tannaka duality without schemes $t Appendix E. Duality for diagonalizable algebraic groups $t Appendix F. Revision problems
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2016
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650 0 $a Galois theory. $3 523821
650 0 $a Riemann-Hilbert problems. $3 631802
650 7 $a Field theory and polynomials -- Differential and difference algebra -- Differential algebra. $2 msc $3 3775631
650 7 $a Functions of a complex variable -- Riemann surfaces -- None of the above, but in this section. $2 msc $3 3775632
650 7 $a Ordinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.). $2 msc $3 3775511
650 7 $a Ordinary differential equations -- General theory -- Linear equations and systems, general. $2 msc $3 3775633
650 7 $a Ordinary differential equations -- Differential equations in the complex domain -- Differential equations in the complex domain. $2 msc $3 3775634
776 0 $i Print version: $a Sauloy, Jacques. $t Differential Galois theory through Riemann-Hilbert correspondence : $w (DLC) 2016033241 $x 1065-7339 $z 9781470430955
856 4 $3 Contents $u http://www.ams.org/gsm/177
856 4 $3 Contents $u https://doi.org/10.1090/gsm/177