000			03664nam a22005415i 4500
001			978-3-540-77017-6
003			DE-He213
005			20161121231214.0
007			cr nn 008mamaa
008			100301s2008 gw | s |||| 0|eng d
020			_a9783540770176 _9978-3-540-77017-6
024	7		_a10.1007/978-3-540-77017-6 _2doi
050		4	_aQA150-272
072		7	_aPBF _2bicssc
072		7	_aMAT002000 _2bisacsh
082	0	4	_a512 _223
100	1		_aPeters, Chris A.M. _eauthor.
245	1	0	_aMixed Hodge Structures _h[electronic resource] / _cby Chris A.M. Peters, Joseph H.M. Steenbrink.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008.
300			_aXIV, 470 p. 6 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; _v52
505	0		_aBasic Hodge Theory -- Compact Kähler Manifolds -- Pure Hodge Structures -- Abstract Aspects of Mixed Hodge Structures -- Mixed Hodge Structures on Cohomology Groups -- Smooth Varieties -- Singular Varieties -- Singular Varieties: Complementary Results -- Applications to Algebraic Cycles and to Singularities -- Mixed Hodge Structures on Homotopy Groups -- Hodge Theory and Iterated Integrals -- Hodge Theory and Minimal Models -- Hodge Structures and Local Systems -- Variations of Hodge Structure -- Degenerations of Hodge Structures -- Applications of Asymptotic Hodge Theory -- Perverse Sheaves and D-Modules -- Mixed Hodge Modules.
520			_aThe text of this book has its origins more than twenty- ve years ago. In the seminar of the Dutch Singularity Theory project in 1982 and 1983, the second-named author gave a series of lectures on Mixed Hodge Structures and Singularities, accompanied by a set of hand-written notes. The publication of these notes was prevented by a revolution in the subject due to Morihiko Saito: the introduction of the theory of Mixed Hodge Modules around 1985. Understanding this theory was at the same time of great importance and very hard, due to the fact that it uni es many di erent theories which are quite complicated themselves: algebraic D-modules and perverse sheaves. The present book intends to provide a comprehensive text about Mixed Hodge Theory with a view towards Mixed Hodge Modules. The approach to Hodge theory for singular spaces is due to Navarro and his collaborators, whose results provide stronger vanishing results than Deligne’s original theory. Navarro and Guill en also lled a gap in the proof that the weight ltration on the nearby cohomology is the right one. In that sense the present book corrects and completes the second-named author’s thesis.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aAlgebraic geometry.
650		0	_aDifferential geometry.
650		0	_aTopology.
650		0	_aPhysics.
650	1	4	_aMathematics.
650	2	4	_aAlgebra.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aDifferential Geometry.
650	2	4	_aTopology.
650	2	4	_aMathematical Methods in Physics.
700	1		_aSteenbrink, Joseph H.M. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540770152
830		0	_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; _v52
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-77017-6
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510121 _d510121