Generation and Dimension for Derived Categories

This work focuses on problems regarding derived categories arising in algebraic geometry and commutative algebra. There are six chapters regarding generation in the bounded derived category of coherent sheaves over a Noetherian scheme. The targeted topics involve explicitly identifying generators, proving existence results thereof, and producing estimates on Rouquier dimension.

Publication Details

Journal: Scholar Commons (University of South Carolina)
Published: 2025-04-30
Primary Topic: Categorization, perception, and language
Type: article
Field-Weighted Citation Impact: 0.00

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article

Generation and Dimension for Derived Categories

Apr 30, 2025

Scholar Commons (University of South Carolina)

Categorization, perception, and language

article

Generation and Dimension for Derived Categories

April 30, 2025article en

Abstract

Scholar Commons (University of South Carolina)

Openalex Percentile: Top 45%

Categorization, perception, and language

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Generation and Dimension for Derived Categories · Scholar Commons (University of South Carolina) (2025) | TGRS Research Map | TGRS