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Misha Verbitsky's user avatar
Misha Verbitsky's user avatar
Misha Verbitsky's user avatar
Misha Verbitsky
  • Member for 14 years, 11 months
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revised
Two questions about counter example for Torelli theorem for hyperkahler manifolds
added 6 characters in body
answered
Two questions about counter example for Torelli theorem for hyperkahler manifolds
revised
Condition for infinite dimensional complex manifold to be Kähler by pullback form
added implication relations between definitions
answered
Ideals in the I-adic completion of a ring
comment
Ideals in the I-adic completion of a ring
only closed ones
answered
Is the group of isometries of a homogeneous Riemannian manifold maximal?
answered
Condition for infinite dimensional complex manifold to be Kähler by pullback form
reviewed
Approve
Why are the holomorphic line bundle sections finite dimensional?
comment
Non Kähler blow-up of a Kähler manifold
Same argument works, I think (I just checked, don't see any problems)
answered
Non Kähler blow-up of a Kähler manifold
revised
Kahler structure on holomorphic principal bundles
typo
comment
SYZ mirror symmetry for K3 surfaces
as far as I know, Dolgachev's version of mirror symmetry is not compatible with the physicists' one
accepted
Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)
comment
Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)
many thanks! I would be very grateful, the question has some important geometric applications
comment
Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)
everything is smooth
revised
Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)
edited body
comment
Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)
Specifically, I want an argument which might be possibly generalized to the complex case
comment
Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)
It seems so, but I don't see an easy argument why the metric is induced by the Gauss map
revised
Families of Fano varieties over non-hyperbolic curves
added 62 characters in body
comment
Families of Fano varieties over non-hyperbolic curves
you are right, for del Pezzo this argument does not work! Any such $C$ will meet a quadric passing through the points which are blown up, hence one of its points is not in general position. My apologies.
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