most citedNon-commutative Barge-Ghys quasimorphisms: an erratum

3 citations · 3 across the 2 of their papers we have counts for

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15 papers

math.DG20263 cited

Non-commutative Barge-Ghys quasimorphisms: an erratum

Michael Brandenbursky, Misha Verbitsky

This is an erratum to the paper ``Non-commutative Barge-Ghys quasimorphisms''. The effective version of Ambrose-Singer theorem used in this paper was mis-stated, making Theorem 3.1…

math.DG2026

Locally Conformally Kähler Manifolds of Algebraic Codimension One

Liviu Ornea, Misha Verbitsky, Victor Vuletescu

A locally conformally Kähler (LCK) manifold is a manifold which admits a Kähler structure on its universal cover , in such a way that the monodromy acts conformally…

math.AG2026

Sections of Lagrangian fibrations on holomorphic symplectic manifolds

Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky

Let be a holomorphically symplectic manifold, equipped with a Lagrangian fibration . A degenerate twistor deformation (sometimes also called ``a Tate-Shafarevich…

math.AG2026

Projective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curves

Leila Abubakarova, Alexandra Kuznetsova, Misha Verbitsky

We study complex subvarieties in certain non-Kahler holomorphically symplectic manifolds , called the Bogomolov-Guan manifolds. Let be an elliptic curve, an ample line b…

math.AG2026

Coherent sheaves on subvarieties in Hopf manifolds

Liviu Ornea, Misha Verbitsky

We prove a version of GAGA theorem for a normal complex analytic variety equipped with an invertible holomorphic contraction with center in . We show that admits a…

math.AG2026

Reflective lattices and hyperkahler manifolds

Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky

Using the results of Nikulin and Vinberg on the groups of isometries generated by reflections, we construct a subvariety called the Nikulin-Vinberg locus in the moduli space of pol…