Relative Riemann-Hilbert & Newlander-Nirenberg theorems for torsion-free analytic sheaves on maximal and homogeneous spaces / Thomas Kurbach. Wuppertal, [2025]
Inhalt
- Abstract
- Erklärungen
- Chapter 1. Introduction
- Chapter 2. Complexification of real analytic spaces
- Chapter 3. Complexification of complex analytic spaces
- Chapter 4. Analytic differential forms as universal objects
- Chapter 5. Real analytic differential forms
- Chapter 6. Relative Riemann-Hilbert Theorem for submersions
- Chapter 7. Reducedness, torsion and tame connections
- Chapter 8. Example of a flat non-tame connection
- Chapter 9. Riemann-Hilbert correspondence with singular fibers
- 1. Weak holomorphicity, maximalization and proper modifications
- 2. Strategy outline
- 3. Existence of weak solutions
- 4. Reduction to absolute case and maximal fibers
- 5. Reduction to curve case and homogeneous fibers
- Chapter 10. Newlander-Nirenberg Theorem and -operators
- Chapter 11. Conclusion and further questions
- Bibliography