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Titlebook: Handbook of Geometry and Topology of Singularities III; José Luis Cisneros-Molina,Lê Dũng Tráng,José Seade Book 2022 Springer Nature Switz

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Residues and Hyperfunctions,e cohomology of the sheaf of holomorphic forms. As an application, we give explicit expressions of Sato hyperfunctions and related operations including the embedding of the space of real analytic functions into that of hyperfunctions, where as well the Thom class plays an important role.
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Segre Classes and Invariants of Singular Varieties,s of characteristic classes for singular varieties, and on classes of Lê cycles. We precede the main discussion with a review of relevant background notions in algebraic geometry and intersection theory.
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Mixed Hodge Structures Applied to Singularities,ology of the Milnor fibre possible. The approaches by algebraic analysis and by motivic integration are discussed, and the spectrum with its properties is considered. The paper ends with a treatment of Du Bois singularities.
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Handbook of Geometry and Topology of Singularities III
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Constructible Sheaf Complexes in Complex Geometry and Applications,f characteristic cycles of constructible functions, and to weak Lefschetz and Artin-Grothendieck type theorems. We recall the construction of Deligne’s nearby and vanishing cycle functors, prove that they preserve constructible complexes, and discuss their relation with the perverse t-structure. We
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