Zobrazeno 1 - 10
of 249
pro vyhledávání: '"Bogomolov, Fedor A."'
Let $M$ be a holomorphically symplectic manifold, equipped with a Lagrangian fibration $\pi:\; M \to X$. A degenerate twistor deformation (sometimes also called ``a Tate-Shafarevich twist'') is a family of holomorphically symplectic structures on $M$
Externí odkaz:
http://arxiv.org/abs/2407.07877
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:
Bogomolov, Fedor, Lukzen, Elena
We offer a new approach to proving the Chen-Donaldson-Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a families of curves
Externí odkaz:
http://arxiv.org/abs/2010.02839
We consider the only one known class of non-K\"ahler irreducible holomorphic symplectic manifolds, described in the works of D. Guan and the first author. Any such manifold $Q$ of dimension $2n-2$ is obtained as a finite degree $n^2$ cover of some no
Externí odkaz:
http://arxiv.org/abs/2005.01193
Autor:
Bogomolov, Fedor, Fu, Hang
Let $E$ be an elliptic curve and $\pi:E\to\mathbb{P}^{1}$ a standard double cover identifying $\pm P\in E$. It is known that for some torsion points $P_{i}\in E$, $1\leq i\leq4$, the cross ratio of $\{\pi(P_{i})\}_{i=1}^{4}$ is independent of $E$. In
Externí odkaz:
http://arxiv.org/abs/1902.08801
Autor:
Bogomolov, Fedor, Kurnosov, Nikon
In this paper we study the Lagrangian fibrations for projective irreducible symplectic fourfolds and exclude the case of non-smooth base. Our method could be extended to the higher-dimensional cases.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1810.11011
Autor:
Blum-Smith, Ben, Bogomolov, Fedor
Publikováno v:
European Journal of Mathematics 5 (2019) 1173--1191
In this paper we define and investigate a class of groups characterized by a representation-theoretic property we call purely noncommuting or PNC. This property guarantees that the group has an action on a smooth projective variety with mild quotient
Externí odkaz:
http://arxiv.org/abs/1810.05336
We study when kernels of inflation maps associated to extraspecial p-groups in stable group cohomology are generated by their degree two components. This turns out to be true if the prime is large enough compared to the rank of the elementary abelian
Externí odkaz:
http://arxiv.org/abs/1809.11023
Publikováno v:
In Advances in Mathematics 27 August 2022 405
Autor:
Bogomolov, Fedor, Tschinkel, Yuri
We study Noether's problem from the perspective of torsors under linear algebraic groups and descent.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/1711.09465