On the birational geometry for irreducible symplectic 4-folds related to the Fano schemes of lines

Kotaro Kawatani

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arXiv · 0906.0654

On the birational geometry for irreducible symplectic 4-folds related to the Fano schemes of lines

Kotaro Kawatani

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Abstract

There is two group actions on the Fano scheme of lines such that the quotient becomes an irreducible symplectic manifold. We showed that both quotients are birational to the generalized Kummer variety or the 2-points Hilbert scheme of a K3 surface.

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Kotaro Kawatani. 2009-06-03. On the birational geometry for irreducible symplectic 4-folds related to the Fano schemes of lines. https://arxiv.org/abs/0906.0654

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