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arXiv:2011.08727 [math.AG]AbstractReferencesReviewsResources

Rational curves and MBM classes on hyperkahler manifolds: a survey

Ekaterina Amerik, Misha Verbitsky

Published 2020-11-17Version 1

This paper deals with rational curves and birational contractions on irreducible holomorphically symplectic manifold. We survey some recent results about minimal rational curves, their deformations, extremal rays associated with these curves, and the geometry of the K\"ahler cone.

Comments: 25 pages, to appear in the Progress in Math. volume of the Schiermonnikoog conference on rationality (April 2019)
Categories: math.AG
Subjects: 14E30, 14J32
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