Patching over fields

Details Patching over fields Patching over fields

2007-10-08

arxiv.org/abs/0710.1392v3

Mathematics

Algebraic Geometry

37 pages; exposition improved and more detail given; Lemma 3.1 strengthened

Scientific paper

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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