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math.AG2019★ 2 cited
MBM classes and contraction loci on low-dimensional hyperkahler manifolds of K3 type
Ekaterina Amerik, Misha Verbitsky
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers…
math.AG2019★ 14 cited
Contraction centers in families of hyperkahler manifolds
Ekaterina Amerik, Misha Verbitsky
We study the exceptional loci of birational (bimeromorphic) contractions of a hyperkähler manifold . Such a contraction locus is the union of all minimal rational curves in a co…