Vector Field Construction of Segre Sets
نویسنده
چکیده
§1. Geometry of finite type and review of CR-extension theory . . . . .2. §2. Identification of CR vector fields and of Segre varieties . . . . . . . . . .4. §3. Segre varieties and extrinsic complexification . . . . . . . . . . . . . . . . . . . .10. §4. Segre sets and iterated complexifications . . . . . . . . . . . . . . . . . . . . . . . . .12. §5. Segre varieties and conjugate Segre varieties . . . . . . . . . . . . . . . . . . . . 13. §6. Complexification of orbits of CR vector fields on M . . . . . . . . . . . . 16. §7. Complexified Segre k-chains and Segre sets . . . . . . . . . . . . . . . . . . . . . .19. §8. Minimality and holomorphic degeneracy in low codimension . . 25. §9. Orbits of systems of holomorphic vector fields . . . . . . . . . . . . . . . . . . .34. §10. Segre geometry of formal CR manifolds . . . . . . . . . . . . . . . . . . . . . . . . 37. §11. Application of the formalism to the regularity of CR mappings 38.
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