LEADER 02321nam a2200409 i 4500 001 991002946939707536 006 m o d 007 cr nn 008mamaa 008 160719s2015 sz a ob 001 0 eng d 020 $a9783319175218 024 7 $a10.1007/978-3-319-17521-8$2doi 035 $ab14258511-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a516.35$223 084 $aAMS 32G20 084 $aAMS 14F05 084 $aAMS 32C35 084 $aAMS 53D05 084 $aLC QA564.K52 100 1 $aKirschner, Tim$0716373 245 10$aPeriod mappings with applications to symplectic complex spaces$h[e-book] /$cTim Kirschner 260 $aCham :$bSpringer,$c[2015] 300 $a1 online resource (xviii, 275 pages) 440 0$aLecture notes in mathematics,$x1617-9692 ;$v2140 504 $aIncludes bibliographical references 520 $aExtending Griffiths classical theory of period mappings for compact Khler manifolds, this book develops and applies a theory of period mappings of Hodge-de Rham type for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frlicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkhler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely 650 0$aGeometry, Algebraic 650 0$aNumbers, Complex 650 0$aSymplectic spaces 710 2 $aCentro internazionale per la ricerca matematica 711 2 $aC.I.M.E. Summer School$d<2013 ;$cLevico Terme, Italy> 856 40$uhttp://link.springer.com/book/10.1007%2F978-3-319-17521-8$zAn electronic book accessible through the Worls Wide Web 907 $a.b14258511$b03-03-22$c19-07-16 912 $a991002946939707536 996 $aPeriod mappings with applications to symplectic complex spaces$91388038 997 $aUNISALENTO 998 $ale013$b19-07-16$cm$d@ $e-$feng$gsz $h0$i0