Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve

Autor: Kyoung-Seog Lee, Han-Bom Moon
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Forum of Mathematics, Sigma, Vol 11 (2023)
Druh dokumentu: article
ISSN: 2050-5094
DOI: 10.1017/fms.2023.75
Popis: We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize the semiorthogonal decomposition constructed by Narasimhan and Belmans-Mukhopadhyay. Finally, we produce a one-dimensional family of ACM bundles over the moduli space.
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