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arxiv: 1701.03688 · v2 · pith:3SWDTF5Bnew · submitted 2017-01-13 · 🧮 math.AG · math.NT

Some remarks on descent data with applications to Galois descent

classification 🧮 math.AG math.NT
keywords descentschemesdataequivalencegaloisanotherapplicationscartesian
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In this expository paper we present a proof of the equivalence of the standard definition of descent data on schemes with another one mentioned in the literature that involves certain cartesian diagrams. Using this equivalence, we discuss the Galois descent of both schemes and morphisms of schemes.

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