161 citations · 898 across the 143 of their papers we have counts for
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Desingularization of singular hyperkaehler varieties II
Misha Verbitsky
This is a second part of alg-geom/9611015. We construct a natural hyperkaehler desingularization for all singular hyperkaehler varieties. The desingularization theorem was proven i…
Desingularization of singular hyperkaehler varieties I
Misha Verbitsky
Let be a singular hyperkaehler variety, obtained as a moduli space of stable holomorphic bundles on a compact hyperkaehler manifold (alg-geom/9307008). Consider as a comple…
Algebraic structures on hyperkaehler manifold
Misha Verbitsky
Let be a compact hyperkaehler manifold. The hyperkaehler structure equips with a set of complex structures parametrized by , called "the set of induced complex st…
Deformations of trianalytic subvarieties of hyperkähler manifolds
Misha Verbitsky
Let be a compact complex manifold equipped with a hyperkähler metric, and be a closed complex analytic subvariety of . In alg-geom/9403006, we proved that is trianal…
Non-Hermitian Yang-Mills connections
Dmitry Kaledin, Misha Verbitsky
We study Yang-Mills connections on holomorphic bundles over complex Kähler manifolds of arbitrary dimension, in the spirit of Hitchin's and Simpson's study of flat connections. The…