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Categorical representation of superschemes

Published 23 Feb 2016 in math.AG | (1602.07060v1)

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

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