Preservation for generation along the structure morphism of coherent algebras over a scheme

Anirban Bhaduri; Souvik Dey; Pat Lank

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arXiv · 2312.02840

Preservation for generation along the structure morphism of coherent algebras over a scheme

Anirban Bhaduri·Souvik Dey·Pat Lank

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Abstract

This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with a noncommutative coherent algebra on it. This is an extension of a classical result of Rouquier to the noncommutative context.

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BibTeX RIS

Anirban Bhaduri, Souvik Dey, Pat Lank. 2023-12-05. Preservation for generation along the structure morphism of coherent algebras over a scheme. https://arxiv.org/abs/2312.02840

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