Variations of Hodge structure considered as an exterior differential system: old and new results

DOI10.3842/SIGMA.2009.087zbMath1187.14001arXiv0909.2201OpenAlexW2170264013WikidataQ115219689 ScholiaQ115219689MaRDI QIDQ970272

Phillip A. Griffiths, James A. Carlson, Mark L. Green

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2201

zbMATH Keywords

Chern classesintegral manifoldexterior differential systemsHodge conjecturePfaffian systemCartan-Kähler theoremvariation of Hodge structureperiod domainNoether-Lefschetz locuscharacteristic cohomology

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

The \(E^3/ \mathbb{Z}_3\) orbifold, mirror symmetry, and Hodge structures of Calabi-Yau type, Special geometry and the swampland, Schubert varieties as variations of Hodge structure