Period Mappings with Applications to Symplectic Complex Spaces / by Tim Kirschner
(Lecture Notes in Mathematics ; 2140)
| データ種別 | 電子ブック |
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| 版 | 1st ed. 2015 |
| 出版情報 | Cham : Springer International Publishing : Imprint: Springer , 2015 |
| 本文言語 | 英語 |
| 大きさ | XVIII, 275 p : online resource |
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| 一般注記 | Extending 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 |
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| 著者標目 | *Kirschner, Tim author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry LCSH:Category theory (Mathematics) LCSH:Homological algebra LCSH:Functions of complex variables FREE:Mathematics FREE:Algebraic Geometry FREE:Several Complex Variables and Analytic Spaces FREE:Category Theory, Homological Algebra |
| 分 類 | DC23:516.35 |
| 巻冊次 | ISBN:9783319175218 
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| ISBN | 9783319175218 |
| URL | http://dx.doi.org/10.1007/978-3-319-17521-8 |
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