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Abstract
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We classify all prime thick subcategories in the derived categories of coherent
sheaves on elliptic curves, and determine the Serre invariant locus of Matsui
spectra of derived categories of coherent sheaves on any smooth projective
curves.
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Keywords
prime thick subcategory, elliptic curve
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Mathematical Subject Classification
Primary: 14F08
Secondary: 18G80
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Milestones
Received: 13 January 2022
Revised: 8 April 2022
Accepted: 30 April 2022
Published: 1 August 2022
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