000 02763nam a22004935i 4500
001 978-3-319-17521-8
003 DE-He213
005 20190213151644.0
007 cr nn 008mamaa
008 150915s2015 gw | s |||| 0|eng d
020 _a9783319175218
_9978-3-319-17521-8
024 7 _a10.1007/978-3-319-17521-8
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aKirschner, Tim.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPeriod Mappings with Applications to Symplectic Complex Spaces
_h[electronic resource] /
_cby Tim Kirschner.
250 _a1st ed. 2015.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXVIII, 275 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2140
520 _aExtending Griffiths’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.
650 0 _aGeometry, algebraic.
650 0 _aDifferential equations, partial.
650 0 _aAlgebra.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
_0http://scigraph.springernature.com/things/product-market-codes/M12198
650 2 4 _aCategory Theory, Homological Algebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11035
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319175201
776 0 8 _iPrinted edition:
_z9783319175225
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2140
856 4 0 _uhttps://doi.org/10.1007/978-3-319-17521-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11429
_d11429