Period mappings with applications to symplectic complex spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Lecture notes in mathematics
2140 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Weitere Ausgabe: Kirschner, Tim: Period mappings with ... |
| Physical Description: | XVIII, 275 S. graph. Darst. |
| ISBN: | 9783319175201 9783319175218 |
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Record in the Search Index
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| adam_text | Titel: Period mappings with applications to symplectic complex spaces
Autor: Kirschner, Tim
Jahr: 2015
Contents 1 Period Mappings for Families of Complex Manifolds................... 1 1.1 Introduction............................................................. 1 1.2 The A p Construction................................................... 5 1.3 Locally Split Exact Triples and Their Extension Classes............. 15 1.4 Connecting Homomorphisms.......................................... 28 1.5 Frameworks for the GauB-Manin Connection ........................ 44 1.6 The GauB-Manin Connection.......................................... 60 1.7 Generalities on Period Mappings...................................... 67 1.8 Period Mappings of Hodge-de Rham Type ........................... 81 References..................................................................... 97 2 Degeneration of the Frolicher Spectral Sequence........................ 99 2.1 Problem Description.................................................... 99 2.2 Coherence of Direct Image Sheaves................................... 101
2.3 The Infinitesimal Lifting of the Degeneration ........................ 108 2.4 Comparison of Formal and Ordinary Direct Image Sheaves......... 125 2.5 Compactifiable Submersive Morphisms............................... 129 References..................................................................... 141 3 Symplectic Complex Spaces ................................................ 143 3.1 Symplectic Structures on Complex Spaces ........................... 143 3.2 The Beauville-Bogomolov Form...................................... 154 3.3 Deformation Theory of Symplectic Complex Spaces................ 170 3.4 The Local Torelli Theorem ............................................ 180 3.5 The Fujiki Relation...................... ............................... 195 References..................................................................... 211 A Foundations and Conventions.............................................. 213 A.l Set Theory..............................................................
213 A.2 Category Theory........................................................ 215 A.3 Homological Algebra.................................................. 221 A.4 Sheaves.................................................................. 227 xi
xii Contents A.5 Ringed Spaces.......................................................... 234 A.6 Multilinear Algebra.................................................... 238 A. 7 Complex Spaces........................................................ 243 References..................................................................... 248 B Tools ........................................................................... 249 B. l Base Change Maps..................................................... 249 B.2 Hodge Theory of Rational Singularities............................... 260 References..................................................................... 267 Terminology....................................................................... 269
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| any_adam_object | 1 |
| author | Kirschner, Tim |
| author_facet | Kirschner, Tim |
| author_role | aut |
| author_sort | Kirschner, Tim |
| author_variant | t k tk |
| building | Verbundindex |
| bvnumber | BV042934865 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)927749171 (DE-599)BSZ446022446 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T07:13:11Z |
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| isbn | 9783319175201 9783319175218 |
| language | English |
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| physical | XVIII, 275 S. graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Kirschner, Tim Verfasser aut Period mappings with applications to symplectic complex spaces Tim Kirschner Cham [u.a.] Springer 2015 XVIII, 275 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2140 Weitere Ausgabe: Kirschner, Tim: Period mappings with ... Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd rswk-swf Periodische Abbildung (DE-588)4173777-5 gnd rswk-swf Symplektischer Raum (DE-588)4441914-4 gnd rswk-swf Komplexe Mannigfaltigkeit (DE-588)4031996-9 s Symplektischer Raum (DE-588)4441914-4 s Periodische Abbildung (DE-588)4173777-5 s DE-604 Lecture notes in mathematics 2140 (DE-604)BV000676446 2140 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028361542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kirschner, Tim Period mappings with applications to symplectic complex spaces Lecture notes in mathematics Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Periodische Abbildung (DE-588)4173777-5 gnd Symplektischer Raum (DE-588)4441914-4 gnd |
| subject_GND | (DE-588)4031996-9 (DE-588)4173777-5 (DE-588)4441914-4 |
| title | Period mappings with applications to symplectic complex spaces |
| title_auth | Period mappings with applications to symplectic complex spaces |
| title_exact_search | Period mappings with applications to symplectic complex spaces |
| title_full | Period mappings with applications to symplectic complex spaces Tim Kirschner |
| title_fullStr | Period mappings with applications to symplectic complex spaces Tim Kirschner |
| title_full_unstemmed | Period mappings with applications to symplectic complex spaces Tim Kirschner |
| title_short | Period mappings with applications to symplectic complex spaces |
| title_sort | period mappings with applications to symplectic complex spaces |
| topic | Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Periodische Abbildung (DE-588)4173777-5 gnd Symplektischer Raum (DE-588)4441914-4 gnd |
| topic_facet | Komplexe Mannigfaltigkeit Periodische Abbildung Symplektischer Raum |
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| work_keys_str_mv | AT kirschnertim periodmappingswithapplicationstosymplecticcomplexspaces |