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Mixed Hodge structures and singularities

Kulikov, Valentine S., (1948-)

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Mixed Hodge structures and singularities

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mixed Hodge structures and singularities/ Valentine S. Kulikov.
remainder title:	Mixed Hodge Structures & Singularities
Author:	Kulikov, Valentine S.,
Published:	Cambridge :Cambridge University Press, : 1998.,
Description:	xxi, 186 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Hodge theory. -
Online resource:	https://doi.org/10.1017/CBO9780511758928
ISBN:	9780511758928

Mixed Hodge structures and singularities
Kulikov, Valentine S.,1948-

Mixed Hodge structures and singularities[electronic resource] /Mixed Hodge Structures & SingularitiesValentine S. Kulikov. - Cambridge :Cambridge University Press,1998. - xxi, 186 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;132. - Cambridge tracts in mathematics ;132..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 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 will be an excellent resource for all researchers whose interests lie in singularity theory, and algebraic or differential geometry.

ISBN: 9780511758928Subjects--Topical Terms:

701563
Hodge theory.

LC Class. No.: QA564 / .K85 1998

Dewey Class. No.: 516.35

Mixed Hodge structures and singularities
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020 $a 9780521620604 $q (hardback)
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040 $a UkCbUP $b eng $c UkCbUP $d GP
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050 4 $a QA564 $b .K85 1998
082 0 4 $a 516.35 $2 21
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100 1 $a Kulikov, Valentine S., $d 1948- $3 708333
245 1 0 $a Mixed Hodge structures and singularities $h [electronic resource] / $c Valentine S. Kulikov.
246 3 $a Mixed Hodge Structures & Singularities
260 $a Cambridge : $b Cambridge University Press, $c 1998.
300 $a xxi, 186 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 132
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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 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 will be an excellent resource for all researchers whose interests lie in singularity theory, and algebraic or differential geometry.
650 0 $a Hodge theory. $3 701563
650 0 $a Singularities (Mathematics) $3 588970
830 0 $a Cambridge tracts in mathematics ; $v 132. $3 3470558
856 4 0 $u https://doi.org/10.1017/CBO9780511758928