38 citations · 101 across the 17 of their papers we have counts for
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math.AG2011
Deformations of Lagrangian subvarieties of holomorphic symplectic manifolds
Christian Lehn
We generalize Voisin's theorem on deformations of pairs of a symplectic manifold and a Lagrangian submanifold to the case of Lagrangian normal crossing subvarieties. Partial result…
math.AG2011
Lagrangian fibrations on hyperkähler fourfolds
Daniel Greb, Christian Lehn, Sönke Rollenske
Let X be a projective hyperkähler manifold containing a Lagrangian subtorus L. We study intersections of deformations of L, defining a canonical almost holomorphic map called L-red…
math.AG2011★ 26 cited
Lagrangian fibrations on hyperkähler manifolds - On a question of Beauville
Daniel Greb, Christian Lehn, Sönke Rollenske
Let X be a compact hyperkähler manifold containing a complex torus L as a Lagrangian subvariety. Beauville posed the question whether X admits a Lagrangian fibration with fibre L.…