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arXiv · 1201.4227

Berkovich Spaces and Tubular Descent

O. Ben-Bassat·M. Temkin
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Abstract

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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O. Ben-Bassat, M. Temkin. 2012-01-20. Berkovich Spaces and Tubular Descent. https://doi.org/10.1016/j.aim.2012.10.016

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