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A Perspective on the Foundations of Derived Analytic Geometry

Algebraic Geometry 2024-05-14 v1 Algebraic Topology Complex Variables Number Theory

Abstract

We show how one can do algebraic geometry with respect to the category of simplicial objects in an exact category. As a biproduct, we get a theory of derived analytic geometry.

Keywords

Cite

@article{arxiv.2405.07936,
  title  = {A Perspective on the Foundations of Derived Analytic Geometry},
  author = {Oren Ben-Bassat and Jack Kelly and Kobi Kremnizer},
  journal= {arXiv preprint arXiv:2405.07936},
  year   = {2024}
}

Comments

Comments and feedback very welcome; 274 pages

R2 v1 2026-06-28T16:25:41.407Z