Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Kamenova, Ljudmila"'
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
Lagrangian fibrations of hyperk\"ahler manifolds are induced by semi-ample line bundles which are isotropic with respect to the Beauville-Bogomolov-Fujiki form. For a non-isotrivial family of hyperk\"ahler manifolds over a complex manifold $S$ of pos
Externí odkaz:
http://arxiv.org/abs/2403.04868
The aim of this paper is to give an explicit description of the fixed loci of symplectic automorphisms for certain hyperkahler manifolds, namely for Hilbert schemes on K3 surfaces and for generalized Kummer varieties. Here we extend our previous resu
Externí odkaz:
http://arxiv.org/abs/2308.14692
Autor:
Kamenova, Ljudmila
Publikováno v:
Sao Paulo J. Math. Sci (2023)
In this paper we survey some finiteness results of the deformation classes of hyperk\"ahler Lagrangian fibrations, and we prove finiteness for stable Lagrangian fibrations with a given discriminant divisor.
Comment: This paper is in memory of my
Comment: This paper is in memory of my
Externí odkaz:
http://arxiv.org/abs/2308.05844
Autor:
Kamenova, Ljudmila, Lehn, Christian
We prove non-hyperbolicity of primitive symplectic varieties with $b_2 \geq 5$ that satisfy the rational SYZ conjecture. If in addition $b_2 \geq 7$, we establish that the Kobayashi pseudometric vanishes identically. This in particular applies to all
Externí odkaz:
http://arxiv.org/abs/2212.11411
Autor:
Kamenova, Ljudmila, Verbitsky, Misha
Let $M$ be a hyperkahler manifold of maximal holonomy (that is, an IHS manifold), and let $K$ be its Kahler cone, which is an open, convex subset in the space $H^{1,1}(M, R)$ of real (1,1)-forms. This space is equipped with a canonical bilinear symme
Externí odkaz:
http://arxiv.org/abs/2109.08088
Autor:
Kamenova, Ljudmila, Vafa, Cumrun
Publikováno v:
Commun. Math. Phys. 378 (2020) 329-334
A compact complex manifold is Kobayashi non-hyperbolic if there exists an entire curve on it. Using mirror symmetry we establish that there are (possibly singular) elliptic or rational curves on any Calabi-Yau manifold $X$, whose mirror dual $\check
Externí odkaz:
http://arxiv.org/abs/1908.08573
Publikováno v:
J. London Math. Soc. (2024)
Motivated by conjectures of Demailly, Green-Griffiths, Lang, and Vojta, we show that several notions related to hyperbolicity behave similarly in families. We apply our results to show the persistence of arithmetic hyperbolicity along field extension
Externí odkaz:
http://arxiv.org/abs/1907.11225
Autor:
Kamenova, Ljudmila, Verbitsky, Misha
Publikováno v:
European Journal of Mathematics 8 (2022) 514-522
Let $M$ be a holomorphic symplectic K\"ahler manifold equipped with a Lagrangian fibration $\pi$ with compact fibers. The base of this manifold is equipped with a special K\"ahler structure, that is, a K\"ahler structure $(I, g, \omega)$ and a symple
Externí odkaz:
http://arxiv.org/abs/1902.05497
Publikováno v:
Bull. London Math. Soc. 54 (2022) 894-909
In this paper we describe the fixed locus of a symplectic involution on a hyperk\"ahler manifold of type $K3^{[n]}$ or of Kummer $n$ type. We prove that the fixed locus consists of finitely many copies of Hilbert schemes of $K3$ surfaces of lower dim
Externí odkaz:
http://arxiv.org/abs/1809.02810