LEADER 02088nam a2200361 i 4500
001 991002946999707536
008 160719s2015    sz a    ob    001 0 eng d
020   $a9783319175201
024 7 $a10.1007/978-3-319-17521-8$2doi
035   $ab14258523-39ule_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 /$cTim Kirschner
260   $aCham :$bSpringer,$c[2015]
300   $axviii, 275 p. :$bill. ;$c24 cm
440  0$aLecture notes in mathematics,$x0075-8434 ;$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
907   $a.b14258523$b22-11-16$c19-07-16
912   $a991002946999707536
945   $aLE013 32G KIR11 (2015)$g1$i2013000293769$lle013$op$pE46.79$q-$rl$s-  $t0$u1$v0$w1$x0$y.i15788878$z22-11-16
996   $aPeriod mappings with applications to symplectic complex spaces$91388038
997   $aUNISALENTO
998   $ale013$b19-07-16$cm$da  $e-$feng$gsz $h0$i0