1 citations · 1 across the 3 of their papers we have counts for
5 papers
Markman--Markushevich principle and Lagrangian fibrations on O'Grady six-manifolds
Rodion Déev
To any compact holomorphically symplectic manifold and a nef BBF-isotropic class we associate a quasi-projective variety called the Markman--Markushevich space which parametrises t…
Complex surfaces with many algebraic structures
Anna Abasheva, Rodion Déev
We find new examples of complex surfaces with countably many non-isomorphic algebraic structures. Here is one such example: take an elliptic curve in and blow up…
Haupt--Kapovich theorem revisited
Rodion N. Déev
A theorem of O. Haupt, rediscovered by M. Kapovich and celebrated by his proof invoking Ratner theory, describes the set of de Rham cohomology classes on a topological orientable s…
Cousin groups and Hodge structures
Rodion N. Déev
We consider the geometric properties of Hodge Cousin groups, introduced in an unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups corresponding to polarized $…
Compact fibrations with hyperkähler fibers
Rodion N. Déev
Essential dimension of a family of complex manifolds is the dimension of the image of its base in the Kuranishi space of the fiber. We prove that any family of hyperkähler manifold…