Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Lehn, Christian"'
We show that under mild assumptions, the Fano surfaces of lines on smooth cubic threefolds are the only smooth subvarieties of abelian varieties whose Tannaka group for the convolution of perverse sheaves is an exceptional simple group. This in parti
Externí odkaz:
http://arxiv.org/abs/2406.07401
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
In this note, we extend to the singular case some results on the birational geometry of irreducible holomorphic symplectic manifolds.
Comment: Final version. To appear in "Perspectives on four decades. Algebraic Geometry 1980 - 2020. In memory o
Comment: Final version. To appear in "Perspectives on four decades. Algebraic Geometry 1980 - 2020. In memory o
Externí odkaz:
http://arxiv.org/abs/2210.12451
Motivated by recent work of Lawrence-Venkatesh and Lawrence-Sawin, we show that non-isotrivial families of subvarieties in abelian varieties have big monodromy when twisted by generic rank one local systems. While Lawrence-Sawin discuss the case of s
Externí odkaz:
http://arxiv.org/abs/2210.05166
We prove the Morrison--Kawamata cone conjecture for projective primitive symplectic varieties with $\Q$-factorial and terminal singularities with $b_2\geq 5$, from which we derive for instance the finiteness of minimal models of such varieties, up to
Externí odkaz:
http://arxiv.org/abs/2207.14754
We study the deformation theory of rational curves on primitive symplectic varieties and show that if the rational curves cover a divisor, then, as in the smooth case, they deform along their Hodge locus in the universal locally trivial deformation.
Externí odkaz:
http://arxiv.org/abs/2103.16356
We extend the decomposition theorem for numerically $K$-trivial varieties with log terminal singularities to the K\"ahler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing
Externí odkaz:
http://arxiv.org/abs/2012.00441
We investigate a toroidal compactification of the moduli space of K3 surfaces of degree $2$ originating from the program formulated by Gross-Hacking-Keel-Siebert. This construction uses Dolgachev's formulation of mirror symmetry and the birational ge
Externí odkaz:
http://arxiv.org/abs/2010.06922
In this article, we investigate Muirhead's classical system of differential operators for the hypergeometric function 1F1 of a matrix argument. We formulate a conjecture for the combinatorial structure of the characteristic variety of its Weyl closur
Externí odkaz:
http://arxiv.org/abs/2005.06162
Publikováno v:
Differential Geom. Appl. 57 (2018), 121-137
This article is a survey about or introduction to certain aspects of the complex geometry of a hypothetical complex structure on the six-sphere. We discuss a result of Peternell--Campana--Demailly on the algebraic dimension of a hypothetical complex
Externí odkaz:
http://arxiv.org/abs/1912.09719