LEADER 04670nam 22006975 450 001 996466641103316 005 20200629224528.0 010 $a3-319-17521-1 024 7 $a10.1007/978-3-319-17521-8 035 $a(CKB)4210000000000428 035 $a(SSID)ssj0001585416 035 $a(PQKBManifestationID)16263507 035 $a(PQKBTitleCode)TC0001585416 035 $a(PQKBWorkID)14866516 035 $a(PQKB)11123534 035 $a(DE-He213)978-3-319-17521-8 035 $a(MiAaPQ)EBC6301848 035 $a(MiAaPQ)EBC5590600 035 $a(Au-PeEL)EBL5590600 035 $a(OCoLC)921822865 035 $a(PPN)188570918 035 $a(EXLCZ)994210000000000428 100 $a20150915d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPeriod Mappings with Applications to Symplectic Complex Spaces$b[electronic resource] /$fby Tim Kirschner 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XVIII, 275 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2140 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-17520-3 327 $aIntro -- Preface -- Contents -- Notation -- Chapter 1 Period Mappings for Families of Complex Manifolds -- 1.1 Introduction -- 1.2 The ?p Construction -- 1.3 Locally Split Exact Triples and Their Extension Classes -- 1.4 Connecting Homomorphisms -- 1.5 Frameworks for the Gauß-Manin Connection -- 1.6 The Gauß-Manin Connection -- 1.7 Generalities on Period Mappings -- 1.8 Period Mappings of Hodge-de Rham Type -- References -- Chapter 2 Degeneration of the Fro?licher Spectral Sequence -- 2.1 Problem Description -- 2.2 Coherence of Direct Image Sheaves -- 2.3 The Infinitesimal Lifting of the Degeneration -- 2.4 Comparison of Formal and Ordinary Direct Image Sheaves -- 2.5 Compactifiable Submersive Morphisms -- References -- Chapter 3 Symplectic Complex Spaces -- 3.1 Symplectic Structures on Complex Spaces -- 3.2 The Beauville-Bogomolov Form -- 3.3 Deformation Theory of Symplectic Complex Spaces -- 3.4 The Local Torelli Theorem -- 3.5 The Fujiki Relation -- References -- Appendix A Foundations and Conventions -- A.1 Set Theory -- A.2 Category Theory -- A.3 Homological Algebra -- A.4 Sheaves -- A.5 Ringed Spaces -- A.6 Multilinear Algebra -- A.7 Complex Spaces -- References -- Appendix B Tools -- B.1 Base Change Maps -- B.2 Hodge Theory of Rational Singularities -- References -- Terminology. 330 $aExtending Griffiths? classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of ?Hodge-de Rham type? for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2140 606 $aAlgebraic geometry 606 $aFunctions of complex variables 606 $aCategory theory (Mathematics) 606 $aHomological algebra 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 606 $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035 615 0$aAlgebraic geometry. 615 0$aFunctions of complex variables. 615 0$aCategory theory (Mathematics). 615 0$aHomological algebra. 615 14$aAlgebraic Geometry. 615 24$aSeveral Complex Variables and Analytic Spaces. 615 24$aCategory Theory, Homological Algebra. 676 $a512.788 700 $aKirschner$b Tim$4aut$4http://id.loc.gov/vocabulary/relators/aut$0716373 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466641103316 996 $aPeriod mappings with applications to symplectic complex spaces$91388038 997 $aUNISA LEADER 01062nam0 22002651i 450 001 RML0317549 005 20231121125755.0 100 $a20121121d1983 ||||0itac50 ba 101 | $aeng 102 $aus 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aCompression testing of homogeneous materials and composites$ea symposium sponsored by ASTM Committee E-28 on Mechanical Testing, Williamsburg, VA, 10-11 March 1982$fRichard Chait ... [et al.] eds 210 $aPhiladelphia $cASTM $d1983 215 $a294 p.$d24 cm 676 $a620.1$9$v21 702 1$aChait$b, Richard$3RMLV204973$4340 801 3$aIT$bIT-01$c20121121 850 $aIT-FR0099 899 $aBiblioteca Area Ingegneristica$bFR0099 912 $aRML0317549 950 0$aBiblioteca Area Ingegneristica$d 54INGFA 620.1 COM/8$e 54VM 0000881615 VM barcode:BAIN005324. - Inventario:1281VM$fA $h20111020$i20121204 977 $a 54 996 $aCompression Testing of Homogeneous Materials and Composites$92227138 997 $aUNICAS