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Mixed Hodge Structures and Singularities

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Mixed Hodge Structures and Singularities - Kulikov, Valentine S.
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This 1998 book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of singularities by means of differential forms. Here some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in the local situation to study the case of isolated singularities of holomorphic functions. The author introduces the Gauss-Manin connection on the vanishing cohomology of a singularity, that is on the cohomology ...

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Mixed Hodge Structures and Singularities 1998, Cambridge University Press, Cambridge

ISBN-13: 9780521620604

Hardcover