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Mixed Hodge Structures and Singularities - Valentine S. Kulikov

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2012-01-20
180,01 € 300,01 €

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This vital work is both an introduction to, and a survey of singularity theory, in particular, studying 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 ... Täielik kirjeldus

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Kirjeldus

This vital work is both an introduction to, and a survey of singularity theory, in particular, studying 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 fibration associated to the Milnor fibration, and draws on the work of Brieskorn and Steenbrink to calculate this connection, and the limit mixed Hodge structure. This is an excellent resource for all researchers in singularity theory, algebraic or differential geometry.

Lisateave

Autor Valentine S. Kulikov
Kirjastaja Cambridge University Press
Väljalaskeaasta 2012
Kaanetüüp Kõvakaaneline
EAN 9780521620604
Kirjuta oma arvustus
Te vaatate: Mixed Hodge Structures and Singularities
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180,01 € 300,01 €