"드람 코호몰로지"의 두 판 사이의 차이

2012년 6월 19일 (화) 09:06 판

드람
Hodge
- Hodge decomposition
  - graduation associated to the so-called "Hodge filtration" on the differential forms of the manifold
Delbeault
- cohomology of sheaves of holomorphic forms
Kodaira
- vanishing theorem
- analytic proof of Lefschetz theorem on hyperplane sections of a projective manifold
- embedding theorem
Leray
- sheaf cohomology using fine resolutions
Grothendieck
- sheaf cohomology in algebraic geometry
Deligne
- existence of a mixed Hodge structure on the cohomology of algebraic varieties
http://www.google.com/search?hl=en&tbs=tl:1&q=
수학사연표

@@ 10번째 줄: / 10번째 줄: @@
 *  드람 정리<br>
 ** 드람 코호몰로지와 싱귤러 호몰로지는 서로 쌍대 관계에 있다
-** pairing은 미분형식의 cucle 위에서의 적분으로 주어진다
+** pairing은 미분형식의 cycle 위에서의 적분으로 주어진다
+*  Dr Rham-Hodge 이론<br>
+**
@@ 18번째 줄: / 23번째 줄: @@
 *  harmonic forms<br>
 ** metric independence
-* compact complex Kahler 다양체에의 응용
+*  compact complex Kahler 다양체에의 응용<br>
+** Hodge structure
@@ 30번째 줄: / 34번째 줄: @@
 * 드람
 *  Hodge<br>
-** Hodge decomposition
+**  Hodge decomposition<br>
+*** graduation associated to the so-called "Hodge filtration" on the differential forms of the manifold
 *  Delbeault<br>
 ** cohomology of sheaves of holomorphic forms
@@ 42번째 줄: / 47번째 줄: @@
 ** sheaf cohomology in algebraic geometry
 *  Deligne<br>
-** existence of a mi
+** existence of a mixed Hodge structure on the cohomology of algebraic varieties
 * http://www.google.com/search?hl=en&tbs=tl:1&q=
 * [[수학사연표 (역사)|수학사연표]]