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

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Bi-Lipschitz Invariance of the Multiplicity,tion of . with a general complex line that passes close to the point .. It is shown that . is a singular point of the curve . if and only if this multiplicity is greater than or equal to 2, in this sense, such an integer number can be considered as a measure of how singular can be a point of the cur

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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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rs to the area, and as a reference for specialists.Emphasize.This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of resear

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Shihoko Ishii and in particular to eliminate definite outright errors. Security of data is given priority in all fields. In future we would like our users to login frequently in the registry, thus providing the best update of hemophiliac data obtained in their daily consultation.

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Lorenzo Fantini,Anne Pichon and in particular to eliminate definite outright errors. Security of data is given priority in all fields. In future we would like our users to login frequently in the registry, thus providing the best update of hemophiliac data obtained in their daily consultation.

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Francisco J. Castro-Jiménez,David Mond,Luis Narváez-Macarro and in particular to eliminate definite outright errors. Security of data is given priority in all fields. In future we would like our users to login frequently in the registry, thus providing the best update of hemophiliac data obtained in their daily consultation.

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