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arXiv · 0710.1392

Patching over fields

David Harbater·Julia Hartmann
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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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David Harbater, Julia Hartmann. 2008-09-27. Patching over fields. https://arxiv.org/abs/0710.1392

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