97 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Instituto Nacional de Matemática Pura e AplicadaBR31 papers
- National Research University Higher School of EconomicsRU8 papers
- Romanian AcademyRO5 papers
- University of BucharestRO5 papers
- Brazilian Agricultural Research CorporationBR3 papers
- Centro Brasileiro de Pesquisas FísicasBR3 papers
- Empresa de Pesquisa Agropecuária do Estado do Rio de JaneiroBR3 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR3 papers
- Universidade de São PauloBR3 papers
- Universidade Federal do Rio de JaneiroBR3 papers
- St Petersburg UniversityRU2 papers
- Universidade Federal de Minas GeraisBR2 papers
8 papers · 1 filter
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…
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…
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…
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…
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 .…
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…
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…
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…