Period Mappings and Period Domains

DOI10.1017/9781316995846zbMath1390.14003OpenAlexW1509938318MaRDI QIDQ5281649

James A. Carlson, Stefan Müller-Stach, C. A. M. Peters

Publication date: 26 July 2017

Full work available at URL: https://semanticscholar.org/paper/973eb2efe75fcf20e2ff8a1cb9b1b4b8df09e271

zbMATH Keywords

Shimura varietiesalgebraic cyclesHiggs bundlesGauss-Manin connectionHodge theorytranscendental algebraic geometryperiod domainsTorelli theoremsperiod mappingsMumford-Tate varieties

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Differential geometric aspects of harmonic maps (53C43) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Torelli problem (14C34)

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