Patching over fields
- First Online:
- Cite this article as:
- Harbater, D. & Hartmann, J. Isr. J. Math. (2010) 176: 61. doi:10.1007/s11856-010-0021-1
- 120 Downloads
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.