Zobrazeno 1 - 10
of 763
pro vyhledávání: '"Variations of Hodge Structures"'
Autor:
Khelifa, Nazim
We derive a new bound on the dimension of images of period maps of global pure polarized integral variations of Hodge structures with generic Hodge datum of level at least 3. When the generic Mumford-Tate domain of the variation is a period domain pa
Externí odkaz:
http://arxiv.org/abs/2412.07053
Autor:
Silva Jr, Genival da
We investigate the Lyapunov Exponents of a variation of Hodge structure which has $G_2$ as geometric monodromy group, and discuss formulas for the sum of positive Lyapunov Exponents of variations of Hodge structures of any weight.
Externí odkaz:
http://arxiv.org/abs/2104.12936
Autor:
Pila, Jonathan, Scanlon, Thomas
We prove function field versions of the Zilber-Pink conjectures for varieties supporting a variation of Hodge structures. A form of these results for Shimura varieties in the context of unlikely intersections is the following. Let $S$ be a connected
Externí odkaz:
http://arxiv.org/abs/2105.05845
Autor:
Chen, Jiaming
Let $\mathbb{V}$ be a polarized variation of integral Hodge structure on a smooth complex quasi-projective variety $S$. In this paper, we show that the union of the non-factor special subvarieties for $(S, \mathbb{V})$, which are of Shimura type with
Externí odkaz:
http://arxiv.org/abs/2010.09643
Autor:
Lam, Yeuk Hay Joshua
We study attractor points for Calabi-Yau variations of Hodge structures. In particular, for certain moduli spaces which are Shimura varieties, we prove that the attractor points are CM points, thus proving Moore's Attractor Conjecture in these cases.
Externí odkaz:
http://arxiv.org/abs/2010.02063
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
Autor:
Zúñiga-Rojas, Ronald A.
There is an isomorphism between the moduli spaces of $\sigma$-stable holomorphic triples and some of the critical submanifolds of the moduli space of $k$-Higgs bundles of rank three, whose elements $(E,\varphi^k)$ correspond to variations of Hodge st
Externí odkaz:
http://arxiv.org/abs/1803.01936
Autor:
Bakker, Benjamin, Tsimerman, Jacob
We extend the Ax-Schanuel theorem recently proven for Shimura varieties by Mok-Pila-Tsimerman to all varieties supporting a pure polarized integral variation of Hodge structures. The essential new ingredient is a volume bound on Griffiths transverse
Externí odkaz:
http://arxiv.org/abs/1712.05088
Autor:
Beck, Florian
A complex integrable system determines a family of complex tori over a Zariski-open and dense subset in its base. This family in turn yields an integral variation of Hodge structures of weight $\pm 1$. In this paper, we study the converse of this pro
Externí odkaz:
http://arxiv.org/abs/1707.05973
Variations of Hodge structures for hypergeometric differential operators and parabolic Higgs bundles
Autor:
Fedorov, Roman
Publikováno v:
Int. Math. Res. Not., Vol. 2018, No. 18, 2017, pp. 5583-5608
Consider the holomorphic bundle with connection on $\mathbb P^1-\{0,1,\infty\}$ corresponding to the regular hypergeometric differential operator \[ \prod_{j=1}^h(D-\alpha_j)-z\prod_{j=1}^h(D-\beta_j), \qquad D=z\frac{d}{dz}. \] If the numbers $\alph
Externí odkaz:
http://arxiv.org/abs/1505.01704