most citedA generalization of anti-homomorphisms

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math.AG2023

Perfect algebraic stacks

Tianwei Liang

We develop a theory of perfect algebraic stacks that extend our theory of perfect algebraic spaces in arXiv:2303.07672, arXiv:2303.08502 to the setting of algebraic stacks. We prov…

math.AG2023

On the perfection of algebraic spaces

Tianwei Liang

This paper is a subsequent paper of arXiv:2303.07672. We will continue our research on the subject of perfect algebraic spaces that is developed in arXiv:2303.07672. By means of al…

math.AG2023

Perfect algebraic spaces and perfect morphisms

Tianwei Liang

We develop a theory of perfect algebraic spaces that extend the so-called perfect schemes to the setting of algebraic spaces. We prove several desired properties of perfect algebra…