"Differential Galois theory"의 두 판 사이의 차이

2009년 6월 29일 (월) 12:55 판

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

\(x^3-2=0\)

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

@@ 1번째 줄: / 1번째 줄: @@
 <h5>간단한 소개</h5>
+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
+<h5>example</h5>
+<math>x^3-2=0</math>
+<math>K=\mathbb{Q}(\omega, \sqrt[3]{2})</math> over <math>\mathbb{Q}</math>