Abstract
We develop a new form of patching that is both far-reaching and more elementary than the previous versions that have been used in inverse Galois theory for function fields of curves. A key point of our approach is to work with fields and vector spaces, rather than rings and modules. After presenting a self-contained development of this form of patching, we obtain applications to other structures such as Brauer groups and differential modules.
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Supported in part by NSF Grant DMS-0500118.
Supported by the German National Science Foundation (DFG).
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Harbater, D., Hartmann, J. Patching over fields. Isr. J. Math. 176, 61–107 (2010). https://doi.org/10.1007/s11856-010-0021-1
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DOI: https://doi.org/10.1007/s11856-010-0021-1