Zobrazeno 1 - 10
of 414
pro vyhledávání: '"Verbitsky Misha"'
Autor:
Ornea, Liviu, Verbitsky, Misha
Let $M$ be a compact complex $n$-manifold. A Gauduchon metric is a Hermitian metric whose fundamental 2-form $\omega$ satisfies the equation $dd^c(\omega^{n-1})=0$. Paul Gauduchon has proven that any Hermitian metric is conformally equivalent to a Ga
Externí odkaz:
http://arxiv.org/abs/2411.05595
Autor:
Soldatenkov, Andrey, Verbitsky, Misha
Let $L$ be a holomorphic line bundle on a hyperkahler manifold $M$, with $c_1(L)$ nef and not big. SYZ conjecture predicts that $L$ is semiample. We prove that this is true, assuming that $(M,L)$ has a deformation $(M',L')$ with $L'$ semiample. We in
Externí odkaz:
http://arxiv.org/abs/2409.09142
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
Autor:
Soldatenkov, Andrey, Verbitsky, Misha
Let $(M, \Omega)$ be a holomorphically symplectic manifold equipped with a holomorphic Lagrangian fibration $\pi: M \to B$, and $\eta$ a closed $(1,1)$-form on $B$. Then $\Omega+ \pi^* \eta$ is a holomorphically symplectic form on a complex manifold
Externí odkaz:
http://arxiv.org/abs/2407.07867
Autor:
Ornea, Liviu, Verbitsky, Misha
A complex Hermitian $n$-manifold $(M,I, \omega)$ is called locally conformally Kahler (LCK) if $d\omega=\theta\wedge\omega$, where $\theta$ is a closed 1-form, balanced if $\omega^{n-1}$ is closed, and SKT if $dId\omega=0$. We conjecture that any com
Externí odkaz:
http://arxiv.org/abs/2407.04623
Publikováno v:
Complex Manifolds, Vol 5, Iss 1, Pp 195-201 (2018)
Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M. In [14], the third author proved that every stable
Externí odkaz:
https://doaj.org/article/27d3a56d803442eda9279c7216753c52
The ample cone of a compact Kahler $n$-manifold $M$ is the intersection of its Kahler cone and the real subspace generated by integer (1,1)-classes. Its isotropic boundary is the set of all points $\eta$ on its boundary such that $\int_M \eta^n=0$. W
Externí odkaz:
http://arxiv.org/abs/2402.11697
Autor:
Amerik, Ekaterina, Verbitsky, Misha
Publikováno v:
S\~ao Paulo J. Math. Sci., 2024 May 17:1-8
Let $M$ be a holomorphically symplectic complex manifold, not necessarily compact or quasiprojective, and $X \subset M$ a compact Lagrangian submanifold. We construct a deformation to the normal cone, showing that a neighbourhood of $X$ can be deform
Externí odkaz:
http://arxiv.org/abs/2311.04360
A rigid cohomology class on a complex manifold is a class that is represented by a unique closed positive current. The positive current representing a rigid class is also called rigid. For a compact Kahler manifold $X$ all eigenvectors of hyperbolic
Externí odkaz:
http://arxiv.org/abs/2303.11362
Autor:
Ornea, Liviu, Verbitsky, Misha
Publikováno v:
Proc. Amer. Math. Soc. 152 (2024), 701-707
A locally conformally K\"ahler (LCK) manifold is a complex manifold $M$ which has a K\"ahler structure on its cover, such that the deck transform group acts on it by homotheties. Assume that the K\"ahler form is exact on the minimal K\"ahler cover of
Externí odkaz:
http://arxiv.org/abs/2302.03422