Homogeneous Vector Bundles
نویسنده
چکیده
1. Root Space Decompositions 2 2. Weights 5 3. Weyl Group 8 4. Irreducible Representations 11 5. Basic Concepts of Vector Bundles 13 6. Line Bundles 17 7. Curvature 20 7.1. Curvature of tangent bundles 22 7.2. Curvature of line bundles 24 7.3. Levi curvature 25 8. Ampleness Formulas 27 8.1. Ampleness of irreducible bundles 28 8.2. Ampleness of tangent bundles 29 9. Chern Classes 32 9.1. Chern classes of tangent bundles 33 9.2. Example 35 9.3. Maximal Parabolics 36 10. Nef Value 37 10.1. Example 39 10.2. Nef value and dual varieties 39 11. Cohomology 44 11.1. Tangent Bundles and Rigidity 47 11.2. Line Bundles 48 References 49
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