Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Brunebarbe, Yohan"'
We prove that the universal cover of a normal complex algebraic variety admitting a faithful complex representation of its fundamental group is an analytic Zariski open subset of a holomorphically convex complex space. This is a non-proper version of
Externí odkaz:
http://arxiv.org/abs/2408.16441
Autor:
Brunebarbe, Yohan
Let X be a normal connected complex algebraic variety equipped with a semisimple complex representation of its fundamental group. Then, under a maximality assumption, we prove that the covering space of X associated to the kernel of the representatio
Externí odkaz:
http://arxiv.org/abs/2305.09741
The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension
Autor:
Brunebarbe, Yohan
We propose a generalization of the Green-Griffiths-Lang conjecture to the relative setting and prove that a strong form of it holds for families of varieties of maximal Albanese dimension. A key step of the proof consists in a truncated second main t
Externí odkaz:
http://arxiv.org/abs/2305.09613
Autor:
Brunebarbe, Yohan
We prove that the projective complex algebraic varieties admitting a large complex local system satisfy a strong version of the Green-Griffiths-Lang conjecture.
Externí odkaz:
http://arxiv.org/abs/2207.03283
Autor:
Brunebarbe, Yohan
The moduli stacks of Calabi-Yau varieties are known to enjoy several hyperbolicity properties. The best results have so far been proven using sophisticated analytic tools such as complex Hodge theory. Although the situation is very different in posit
Externí odkaz:
http://arxiv.org/abs/2206.15399
Autor:
Brunebarbe, Yohan, Maculan, Marco
The present note is devoted to an amendment to a recent paper of Ellenberg, Lawrence and Venkatesh. Roughly speaking, the main result here states the subpolynomial growth of the number of integral points with bounded height of a variety over a number
Externí odkaz:
http://arxiv.org/abs/2205.05436
Autor:
Brunebarbe, Yohan
Looking at the finite \'etale congruence covers $X(p)$ of a complex algebraic variety $X$ equipped with a variation of integral polarized Hodge structures whose period map is quasi-finite, we show that both the minimal gonality among all curves conta
Externí odkaz:
http://arxiv.org/abs/2007.12965
Autor:
Brotbek, Damian, Brunebarbe, Yohan
We prove a Second Main Theorem type inequality for any log-smooth projective pair $(X,D)$ such that $X\setminus D$ supports a complex polarized variation of Hodge structures. This can be viewed as a Nevanlinna theoretic analogue of the Arakelov inequ
Externí odkaz:
http://arxiv.org/abs/2007.12957
We prove a mixed version of a conjecture of Griffiths: that the closure of the image of any admissible mixed period map is quasiprojective, with a natural ample bundle. Specifically, we consider the map from the image of the mixed period map to the i
Externí odkaz:
http://arxiv.org/abs/2006.13709
We equip integral graded-polarized mixed period spaces with a natural $\mathbb{R}_{alg}$-definable analytic structure, and prove that any period map associated to an admissible variation of integral graded-polarized mixed Hodge structures is definabl
Externí odkaz:
http://arxiv.org/abs/2006.12403