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Period Mappings with Applications to Symplectic Complex Spaces
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Lecture Notes in Mathematics,
2140 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-17521-8 | ||
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| 005 | 20220114120825.0 | ||
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| 020 | |a 9783319175218 |9 978-3-319-17521-8 | ||
| 024 | 7 | |a 10.1007/978-3-319-17521-8 |2 doi | |
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| 072 | 7 | |a PBMW |2 thema | |
| 082 | 0 | 4 | |a 516.35 |2 23 |
| 100 | 1 | |a Kirschner, Tim. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Period Mappings with Applications to Symplectic Complex Spaces |h [electronic resource] / |c by Tim Kirschner. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XVIII, 275 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2140 | |
| 520 | |a 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. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Algebra, Homological. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Category Theory, Homological Algebra. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319175201 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319175225 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2140 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-17521-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||