English

Formal Superschemes over Fields: Basic Theory

Algebraic Geometry 2025-11-12 v1

Abstract

This paper develops the basic theory of formal schemes over fields in the supersymmetric setting. We introduce the notion of a formal superscheme and investigate some of its fundamental properties. Particular emphasis is placed on the study of morphisms between formal superschemes, for which we establish a faithfully flat descent theorem and a fiber dimension-type theorem.

Keywords

Cite

@article{arxiv.2511.07626,
  title  = {Formal Superschemes over Fields: Basic Theory},
  author = {Felipe Saenz and Joel Torres del Valle},
  journal= {arXiv preprint arXiv:2511.07626},
  year   = {2025}
}

Comments

20 pages. Comments welcome!