"드람 코호몰로지"의 두 판 사이의 차이

2012년 7월 30일 (월) 17:26 판

Dr Rham-Hodge 이론
- finding a canonical representative in a given cohomology class
- 리만 다양체 구조
- 라플라시안

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

@@ 11번째 줄: / 11번째 줄: @@
 ** 드람 코호몰로지와 싱귤러 호몰로지는 서로 쌍대 관계에 있다
 ** pairing은 미분형식의 cycle 위에서의 적분으로 주어진다
+<h5>예</h5>
 *  Dr Rham-Hodge 이론<br>
-**
+** finding a canonical representative in a given cohomology class
+** 리만 다양체 구조
+** 라플라시안
@@ 57번째 줄: / 69번째 줄: @@
 <h5>메모</h5>
+* http://www.amazon.com/Differential-Forms-Singular-Varieties-Mathematics/dp/0849337399
+* [http://www.math.upenn.edu/%7Esiegelch/Notes/Cattani1.pdf http://www.math.upenn.edu/~siegelch/Notes/Cattani1.pdf]
 * Math Overflow http://mathoverflow.net/search?q=