Berkovich Spaces and Tubular Descent

Details Berkovich Spaces and Tubular Descent Berkovich Spaces and Tubular Descent

2012-01-20

arxiv.org/abs/1201.4227v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

We consider an algebraic variety X together with the choice of a subvariety Z. We show that any coherent sheaf on X can be constructed out of a coherent sheaf on the formal neighborhood of Z, a coherent sheaf on the complement of Z, and an isomorphism between certain representative images of these two sheaves in the category of coherent sheaves on a Berkovich analytic space W which we define.

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