✦ LIBER ✦
The Radon–Penrose Correspondence II: Line Bundles and Simple D-Modules
✍ Scribed by Andrea D'Agnolo; Pierre Schapira
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 260 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
On a complex manifold X of dimension 3, we show that coherent D X -modules which are ``simple'' all over P*X are classified by Pic(X ), the family of holomorphic line bundles on X. As a corollary, using the Penrose transform, we obtain that on the complex Minkowski space M, simple D M -modules along the characteristic variety of the wave equation are classified by (half) integers, the so-called helicity.