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Results tagged with holomorphic-symplectic
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user 3377
hyperkahler manifolds, complex Lagrangian submanifolds, Mukai flop, integrable systems
4
votes
0
answers
195
views
Deformation to a normal cone for a holomorphically symplectic manifold
Let $X$ be a subvariety in $M$.
"Deformation to the normal cone"
is a holomorphic deformation of a neighbourhood
of $X$ in $M$ over the disk such that its central fiber
is the total space of the norm …
- 9,237
7
votes
Accepted
Is the generic deformation of a symplectic variety affine?
Being "affine" in this case does not make much sense,
because the hyperkaehler deformation is a complex manifold, without
a fixed algebraic structure. Simpson produced an example of a
hyperkaehler …
- 44.7k