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Period Mappings with Applications to Symplectic Complex Spaces / by Tim Kirschner.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Kirschner, Tim, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2140.
- Lecture Notes in Mathematics, 0075-8434 ; 2140
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Differential equations, Partial.
- Algebra.
- Algebraic Geometry.
- Several Complex Variables and Analytic Spaces.
- Category Theory, Homological Algebra.
- Local Subjects:
- Algebraic Geometry.
- Several Complex Variables and Analytic Spaces.
- Category Theory, Homological Algebra.
- Physical Description:
- 1 online resource (XVIII, 275 pages).
- Edition:
- First edition 2015.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- System Details:
- text file PDF
- Summary:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783319175218
- Access Restriction:
- Restricted for use by site license.
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