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20022024
most citedExperimentally Witnessing the Quantumness of Correlations

97 citations

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8 papers · 1 filter

math.AG2023★ 9 cited

Normal form of bimeromorphically contractible holomorphic Lagrangian submanifolds

Ekaterina Amerik, Misha Verbitsky

Let be a holomorphically symplectic complex manifold, not necessarily compact or quasiprojective, and a compact Lagrangian submanifold. We construct a deformation…

math.AG2022★ 1 cited

Algebraic cones of LCK manifolds with potential

Liviu Ornea, Misha Verbitsky

A complex manifold is called "LCK manifolds with potential" if it can be realized as a complex submanifold of a Hopf manifold. Let its -covering, considered as a comple…

math.AG2021★ 2 cited

Parabolic automorphisms of hyperkahler manifolds

Ekaterina Amerik, Misha Verbitsky

A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on by a non-semisimple quasi-unipotent linear map. We prove that a parabolic automo…

math.AG2021★ 2 cited

Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds

Anna Abasheva, Misha Verbitsky

A nilmanifold is a (left) quotient of a nilpotent Lie group by a cocompact lattice. A hypercomplex structure on a manifold is a triple of complex structure operators satisfying the…

math.AG2020★ 8 cited

Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations

Fedor Bogomolov, Rodion Deev, Misha Verbitsky

Let be a holomorphically symplectic manifold equipped with a holomorphic Lagrangian fibration , and a closed form of Hodge type (1,1)+(2,0) on .…

math.AG2020★ 1 cited

Examples of varieties with index one on -fields

Ananyo Dan, Inder Kaur

Let be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field . In this article we give a sufficient criterion for a projective va…

math.AG2020★ 5 cited

A pathological case of the conjecture in mixed characteristic

Inder Kaur

Let be a field of characteristic 0. Fix integers coprime with . Let be a smooth, projective, geometrically connected curve of genus defined ove…

math.AG2005★ 1 cited

Hypergeometric series and Hodge cycles of four dimensional cubic hypersurfaces

Hossein Movasati, Stefen Reiter

In this article we find connections between the values of Gauss hypergeometric functions and the dimension of the vector space of Hodge cycles of four dimensional cubic hypersurfac…