Categorical representation of superschemes

Abstract

In the present paper, we prove that a locally noetherian superscheme $X^{Ⓢ}$ may be reconstructed (up to certain equivalence) category-theoretically from the category of noetherian superschemes over $X^{Ⓢ}$. This result is a supergeometric generalization of the result proved by Shinichi Mochizuki concerning categorical reconstruction of schemes.

arXiv comment34 pages