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Relative Riemann-Hilbert & Newlander-Nirenberg theorems for torsion-free analytic[...]
Chapter 9. Riemann-Hilbert correspondence with singular fibers
1. Weak holomorphicity, maximalization and proper modifications
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
Dissertation
Relative Riemann-Hilbert & Newlander-Nirenberg theorems for torsion-free analytic sheaves on maximal and homogeneous spaces / Thomas Kurbach
Entstehung
Wuppertal
[2025]
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