On the Mumford-Tate conjecture for hyperkähler varieties
DOI10.1007/s00229-021-01316-4zbMath1493.14008arXiv1904.06238OpenAlexW3164618714WikidataQ113905945 ScholiaQ113905945MaRDI QIDQ2148095
Publication date: 21 June 2022
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.06238
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Étale and other Grothendieck topologies and (co)homologies (14F20) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)
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Cites Work
- On the Tate and Mumford-Tate conjectures in codimension 1 for varieties with \(h^{2,0}=1\)
- Variétés kähleriennes dont la première classe de Chern est nulle
- The Betti numbers of the Hilbert scheme of points on a smooth projective surface
- Compact hyperkähler manifolds: Basic results
- For an unconditional theory of motives
- A Lie algebra attached to a projective variety
- Families of motives and the Mumford-Tate conjecture
- On the Shafarevich and Tate conjectures for hyperkähler varieties
- Cohomology of compact hyperkähler manifolds and its applications
- Kuga-Satake construction and cohomology of hyperkähler manifolds
- The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior)
- The Hodge numbers of O'Grady 10 via Ngô strings
- La conjecture de Weil pour les surfaces K3
- Holomorphic symplectic geometry: a problem list
- Desingularized moduli spaces of sheaves on a K3
- On the monodromy of moduli spaces of sheaves on K3 surfaces
- On the motive of O’Grady’s ten-dimensional hyper-Kähler varieties
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