Gluing triples

Abstract: For a scheme over $\mathbb{Q}_p$, we wish to describe the ways of extending over $\mathbb{Z}_p$ using formal and rigid geometry. Our main theorem does this over arbitrary (excellent) base provided we replace schemes with separated algebraic spaces. This result can be seen as a version of Beauville–Laszlo/Artin gluing of coherent sheaves, but for spaces, and turns out to be closely related to Artin's contraction theorem. This is joint work with Alex Youcis.

algebraic geometrynumber theory

Audience: researchers in the topic

MIT number theory seminar

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