Differential Galois theory

간단한 소개

How important is the transitivity in Galois theory and Monodromy theory?

 

geometric viewpoints vs field theoretic viewpoints (or algebra vs. geometry)

covering space - field extensions

regular covering - Galois covering

degree of covering - degree of field extension

Spec of ring of integers - number fields

Riemann surfaces or algebraic curve - function field

 

example

\(x^3-2=0\)

\(K=\mathbb{Q}(\omega, \sqrt[3]{2})\) over \(\mathbb{Q}\)

 

 

 

 

 

 

하위페이지

• 갈루아 이론
  
  • Abel's impossibility theorem
    
  • adele and idele
    
  • algebraic functions
    
  • Class Field Theory
    
  • Differential Galois theory
    
  • Liouville theory
    
  • number fields and threefolds
    
  • 고전적인 갈루아 이론
    
  • 대수적정수론
    

 

 

 

 

 

 

많이 나오는 질문

• 네이버 지식인
  
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=갈루아

 

 

 

관련된 다른 주제들

작도문제

• 가우스와 정17각형의 작도
  
• 그리스 3대 작도 불가능문제
  
  • 두배의 부피를 갖는 정육면체(The duplication of the cube)
    
• 정다각형의 작도
  
• 히포크라테스의 초승달
  

 

표준적인 도서 및 추천도서

• http://gigapedia.info/1/galois_theory
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

 

 

참고할만한 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
• http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
• 다음백과사전 http://enc.daum.net/dic100/search.do?q=

 

 

이미지 검색

• http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=

 

 

동영상

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관련기사

네이버 뉴스 검색 (키워드 수정)

• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
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• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=

 

블로그

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• 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=