Titlebook: Handbook of Geometry and Topology of Singularities IV; José Luis Cisneros-Molina,Lê Dũng Tráng,José Seade Book 2023 Springer Nature Switze

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Logarithmic Comparison Theorems,In this chapter we study the comparison between the logarithmic and the meromorphic de Rham complexes along a divisor in a complex manifold. We focus on the case of free divisors, starting with the case of locally quasihomogeneous divisors, and we explain how D-module theory can be used for this comparison.

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Hussein Mourtadahilia treaters..Total joint replacement therapy in severe hemophilic arthropathy is possible without major bleeding complications and results in better quality of life due to pain reduction and reduction of bleeding frequency. In comparison to patients without hemophilia the results after total joint replacement are equally successful until now.

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Guillaume Valettehilia treaters..Total joint replacement therapy in severe hemophilic arthropathy is possible without major bleeding complications and results in better quality of life due to pain reduction and reduction of bleeding frequency. In comparison to patients without hemophilia the results after total joint replacement are equally successful until now.

DEMUR

Alexandre Fernandes,José Edson Sampaiohilia treaters..Total joint replacement therapy in severe hemophilic arthropathy is possible without major bleeding complications and results in better quality of life due to pain reduction and reduction of bleeding frequency. In comparison to patients without hemophilia the results after total joint replacement are equally successful until now.

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Singularities, the Space of Arcs and Applications to Birational Geometry,which makes a bridge between the theory of the space of arcs and the theory of birational geometry. We then focus on applications of the space of arcs to the theory of birational geometry and show the recent results.

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Motivic Hirzebruch Class and Related Topics,urvey we discuss characteristic cohomology classes of vector bundles, characteristic homology classes of singular varieties, the motivic Hirzebruch class and related topics such as Milnor class and Fulton–MacPherson’s bivariant theory etc., emphasizing “categorical aspects”, namely, ..

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Hilbert-Samuel Multiplicity and Finite Projections,metrical aspects of this notion. To this end, we will be considering suitably defined finite extensions ., with . regular. We will explore some applications like the explicit description of the equimultiple locus of an equidimensional variety, or the computation of the asymptotic Samuel function.

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