000 02101nam a22003618i 4500
001 CR9780511758928
003 UkCbUP
005 20200124160232.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100430s1998||||enk o ||1 0|eng|d
020 _a9780511758928 (ebook)
020 _z9780521620604 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA564
_b.K85 1998
082 0 0 _a516.3/5
_221
100 1 _aKulikov, Valentine S.,
_d1948-
_eauthor.
245 1 0 _aMixed Hodge structures and singularities /
_cValentine S. Kulikov.
246 3 _aMixed Hodge Structures & Singularities
264 1 _aCambridge :
_bCambridge University Press,
_c1998.
300 _a1 online resource (xxi, 186 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v132
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
650 0 _aHodge theory.
650 0 _aSingularities (Mathematics)
776 0 8 _iPrint version:
_z9780521620604
830 0 _aCambridge tracts in mathematics ;
_v132.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511758928
999 _c517757
_d517755