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MBM classes and contraction loci on low-dimensional hyperkähler manifolds of K3[n] type

Algebraic Geometry. 2022. Vol. 9. No. 3. P. 252–265.
Amerik E., Verbitsky M.

We describe the extremal rays and the exceptional loci of extremal contractions on a hyperk ̈ahler manifold of K3[n] type for small n by deforming to the Hilbert scheme of a non-algebraic K3 surface.

Research target: Mathematics
Language: English
DOI
Text on another site
Keywords: hyperkahler manifoldsKahler coneBirational maps
Publication based on the results of:
Algebraic varieties from the point of view of derived categories, homological algebra, special holonomy metrics and classical algebraic geometry (2022)
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