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Rational Curves and MBM Classes on Hyperkähler Manifolds: A Survey

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Rationality of Varieties

Part of the book series: Progress in Mathematics ((PM,volume 342))

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Abstract

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 Kähler cone.

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Correspondence to Ekaterina Amerik .

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Amerik, E., Verbitsky, M. (2021). Rational Curves and MBM Classes on Hyperkähler Manifolds: A Survey. In: Farkas, G., van der Geer, G., Shen, M., Taelman, L. (eds) Rationality of Varieties. Progress in Mathematics, vol 342. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-75421-1_3

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