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Supports for constructible systems - MaRDI portal

Supports for constructible systems (Q2090778)

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scientific article; zbMATH DE number 7609801
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English
Supports for constructible systems
scientific article; zbMATH DE number 7609801

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    Supports for constructible systems (English)
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    31 October 2022
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    Summary: We develop a ``universal'' support theory for derived categories of constructible (analytic or étale) sheaves, holonomic \(\mathcal{D}\)-modules, mixed Hodge modules and others. As applications we classify such objects up to the tensor triangulated structure and discuss the question of monoidal topological reconstruction of algebraic varieties.
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    constructible sheaves
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    holonomic \(\mathcal{D}\)-modules
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    mixed Hodge modules
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    motivic sheaves
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    constructible systems
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    support datum
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    tensor-triangular geometry
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    smashing spectrum
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    classification
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    reconstruction
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