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Brilliant families of K3 surfaces: twistor spaces, Brauer groups, and Noether-Lefschetz loci

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Publication:6069196
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DOI10.5802/afst.1741arXiv2012.04608OpenAlexW3111499366MaRDI QIDQ6069196

Daniel Huybrechts

Publication date: 15 December 2023

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04608



Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14Jxx) Cycles and subschemes (14Cxx) Global differential geometry (53Cxx)




Cites Work

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  • MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
  • Moduli spaces of bundles over nonprojective \(K3\) surfaces
  • Lines on Fermat surfaces
  • Compact hyperkähler manifolds: Basic results
  • Motives of isogenous \(K3\) surfaces
  • Degenerate twistor spaces for hyperkähler manifolds
  • Equivalences of twisted K3 surfaces
  • Real multiplication on \(K3\) surfaces and Kuga-Satake varieties
  • Lectures on K3 Surfaces
  • The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
  • Hodge groups of K3 surfaces.
  • Complex Multiplication in Twistor Spaces
  • Lagrangian Fibrations of Holomorphic-Symplectic Varieties of K3[n-Type]
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