000			01471 a2200169 4500
008			220820b |||||||| |||| 00| 0 eng d
020			_a978052620604
082			_a516.35 _bKUL
100			_aKulikov, Valentine S.
245			_aMixed hodge structures and singularities
260			_bCambridge University Press, _c1998. _aCambridge:
300			_axxi, 186p.; _bhbk; _c24cm.
440			_aCambridge tracts in mathematics, no. 132
504			_aIncludes index and references
520			_aThis 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. https://www.cambridge.org/core/books/mixed-hodge-structures-and-singularities/51C91E1A457EF98756F4ABCC60D59A22#fndtn-information
942			_2ddc _cTD
999			_c56678 _d56678