Thesis
Derived complex analytic geometry via bornological methods
- Abstract:
- We present an exposition of several results on sheaves on analytic spaces and stacks. A simplification of the Verdier duality for bornological sheaves of Prosmans on complex manifolds is presented in the second chapter, using duality arguments from rigid analysis. A thorough account of the abstract theory of six-functor formalisms and the foundations of derived analytic geometry via bornological methods are given in the following two chapters. The results of Soor are adapted to the setting of overconvergent geometry in the fifth chapter. The final chapter applies six-functor formalism to present the analytic Beilinson-Bernstein localization of Scholze.
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(Preview, Dissemination version, pdf, 708.2KB, Terms of use)
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Authors
Contributors
+ Kremnitzer, K
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Oxford college:
- Oriel College
- Role:
- Supervisor
- ORCID:
- 0000-0002-9142-9771
+ McGerty, K
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Oxford college:
- Christ Church
- Role:
- Supervisor
- ORCID:
- 0000-0002-1553-3438
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/T517811/1
- Programme:
- Doctoral Training Programme
- DOI:
- Type of award:
- DPhil
- Awarding institution:
- University of Oxford
- Language:
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English
- Keywords:
- Deposit date:
-
2026-05-05
- ARK identifier:
Terms of use
- Copyright holder:
- Christopher Burns
- Copyright date:
- 2025
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