Period mappings with applications to symplectic complex spaces

DOI10.1007/978-3-319-17521-8zbMath1346.14042arXiv1210.4197OpenAlexW2122829984MaRDI QIDQ2343001

Tim Kirschner

Publication date: 30 April 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4197

zbMATH Keywords

complex spacesGauss-Manin connectionlocal Torelli theoremFrolicher spectral sequenceFujiki relationHodge-De Rhamperiod mappingssymplectic complex spaces

Mathematics Subject Classification ID

Related Items (8)

The global moduli theory of symplectic varieties ⋮ A global Torelli theorem for singular symplectic varieties ⋮ The second integral cohomology of moduli spaces of sheaves on K3 and abelian surfaces ⋮ Rational curves on primitive symplectic varieties of \(\mathrm{OG}_6^s\)-type ⋮ Algebraic approximations of compact Kähler manifolds of algebraic codimension \(1\) ⋮ Global Torelli theorem for irreducible symplectic orbifolds ⋮ \(\partial\overline{\partial}\)-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps ⋮ On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties

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