Hyper-Kähler manifolds

DOI10.1007/s00032-022-00366-xzbMath1504.14070arXiv1810.02087OpenAlexW4308968706MaRDI QIDQ2107590

Olivier Debarre

Publication date: 2 December 2022

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02087

zbMATH Keywords

automorphismsmoduli spaceshyper-Kähler manifolds\(K3\) surfacesTorelli theoremNoether-Lefschetz locibirational isomorphismsperiod domainsmovable classesample classescones of divisorsnef classes

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Birational automorphisms, Cremona group and generalizations (14E07) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Automorphisms of surfaces and higher-dimensional varieties (14J50) Torelli problem (14C34)

Related Items (5)

On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ Kodaira dimension of moduli of special \(K3^{[2}\)-fourfolds of degree 2]

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