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arXiv · 2602.21184

On Gluing Data, Finite Ringed Spaces and schemes

Rita Fioresi·Angelica Simonetti·Ferdinando Zanchetta
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Abstract

From descent theory to higher geometry, the idea of gluing has been embedded in many elegant and powerful techniques, proving instrumental for the solution of many problems. In this paper, we introduce a framework that allows to link important geometric objects, such as differentiable manifolds or schemes, to certain finite ringed spaces arising from sheaves on 2 dimensional semisimplicial sets, thus opening the door to their applications in fields such as discrete differential geometry.

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Rita Fioresi, Angelica Simonetti, Ferdinando Zanchetta. 2026-02-24. On Gluing Data, Finite Ringed Spaces and schemes. https://arxiv.org/abs/2602.21184

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