Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Déev, Rodion"'
Autor:
Abasheva, Anna, Déev, Rodion
We find new examples of complex surfaces with countably many non-isomorphic algebraic structures. Here is one such example: take an elliptic curve $E$ in $\mathbb P^2$ and blow up nine general points on $E$. Then the complement $M$ of the strict tran
Externí odkaz:
http://arxiv.org/abs/2303.10764
Publikováno v:
Advances in Mathematics Volume 405, 27 August 2022, 108479
Let $(M,I, \Omega)$ be a holomorphically symplectic manifold equipped with a holomorphic Lagrangian fibration $\pi:\; M \mapsto X$, and $\eta$ a closed form of Hodge type (1,1)+(2,0) on $X$. We prove that $\Omega':=\Omega+\pi^* \eta$ is again a holom
Externí odkaz:
http://arxiv.org/abs/2011.00469
Autor:
Déev, Rodion N.
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 surface, which can be realized by an abelian differential in some respe
Externí odkaz:
http://arxiv.org/abs/2010.15359
Publikováno v:
In Advances in Mathematics 27 August 2022 405
Autor:
Déev, Rodion N.
We consider the geometric properties of Hodge Cousin groups, introduced in an unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups corresponding to polarized $\mathbb{Q}$-Hodge structures. Basing on this consideration, we introdu
Externí odkaz:
http://arxiv.org/abs/1610.06263
Autor:
Déev, Rodion N.
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 hyperk\"ahler manifolds over a compact simply connected base has essential dimension not g
Externí odkaz:
http://arxiv.org/abs/1511.05332
Autor:
Abasheva, Anna, Déev, Rodion
Publikováno v:
IMRN: International Mathematics Research Notices; May2024, Vol. 2024 Issue 9, p7379-7400, 22p