18 citations · 70 across the 13 of their papers we have counts for
14 papers
On subgroups of an automorphism group of an irreducible symplectic manifold
Daisuke Matsushita
Let X be an irreducible symplectic manifold and L a nef line bundle on X which is isotropic with respect to the Beauville-Bogomolov quadratic form. It is known that a subgroup Aut(…
On isotropic divisors on irreducible symplectic manifolds
Daisuke Matsushita
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 Lagrangi…
On almost holomorphic Lagrangian fibrations
Daisuke Matsushita
We prove that the pull back of an ample line bundle by an almost holomorphic Lagrangian fibration is nef. As an application, we show birational semi rigidity of Lagrangian fibratio…
Zariski F-decomposition and Lagrangian fibration on hyperkähler manifolds
Daisuke Matsushita, De-Qi Zhang
For a compact hyperkähler manifold X, we show certain Zariski decomposition for every pseudo-effective R-divisor, and give a sufficient condition for X to be bimeromorphic to a (ho…
On deformations of Lagrangian fibrations
Daisuke Matsushita
Let X be an irreducible symplectic manifold and Def(X) the Kuranishi space. Assume that X admits a Lagrangian fibration. We prove that X can be deformed preserving a Lagrangian fib…
A canonical bundle formular of projective Lagrangian fibrations
Daisuke Matsushita
We classify singular fibres of a projective Lagrangian fibration over codimension one points. As an application, we obtain a canonical bundle formula for a projective Lagrangian fi…