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Partial semiorthogonal decompositions for quiver moduli

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We embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, giving the start of a semiorthogonal decomposition. This mirrors the semiorthogonal decompositions of moduli of vector bundles on curves. Our results are obtained with QUIVERTOOLS, an open-source package of tools for quiver representations, their moduli spaces and their geometrical properties. (c) 2025 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

Quiver moduliDerived categorySemiorthogonal decompositionFourier-Mukai functorFull strongly exceptional collectionTilting bundleVECTOR-BUNDLESCATEGORIES

Petrella, Gianni

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Univ Luxembourg

2025

Journal of symbolic computation

Journal of symbolic computation

SCI
ISSN:0747-7171
年,卷(期):2025.131(Nov./Dec.)
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