On isotropic divisors on irreducible symplectic manifolds
By D. Matsushita. 2013
49 citations recorded by the source corpus.
Let X be an irreducible symplectic manifold and L a divisor on X. Assume that L is isotropic with respect to the Beauville-Bogomolov quadratic form. We define the rational Lagrangian locus and the movable locus on the universal deformation space of the pair (X, L). We prove that the rational Lagrangian locus is empty or coincide with the movable locus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/19433d72ef192dc2f9473d47c3f5f986218da6af
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In Geometry and Topology
- Emanuele Macrì
- Arend Bayer
- D. Huybrechts
- Chunyi Li
- E. Markman
- P. Stellari
- Benjamin Schmidt
- Yukinobu Toda
In Mathematical Physics
- Emanuele Macrì
- Arend Bayer
- D. Huybrechts
- E. Markman
- Chunyi Li
- P. Stellari
- Yukinobu Toda
- Benjamin Schmidt
Citations in the corpus
- MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations (2013, background): “y to associate a K3 surface (purely lattice theoretically) to such hyperka¨hler manifolds with a square-zero divisor class. These results have been extended by Matsushita to any variety of K3[n]-type [Mat13]. Geometry of flopping contractions. As mentioned previously, every extremal contraction of MH”
- Lagrangian Fibrations of Holomorphic-Symplectic Varieties of K3[n]-Type (2013, background): “Matsushita proved that if L 0 induces a Lagrangian fibration, then so does L for every pair ( X, L) deformation equivalent to ( X 0 , L 0 ) , with X irreducible holomorpic symplectic and L nef (preprint posted very recently [Mat5], announced earlier in his talk [Mat4]).”