32 citations · 61 across the 13 of their papers we have counts for
17 papers
Rich representations and superrigidity
Gregorio Baldi, Nicholas Miller, Matthew Stover +1
We investigate and compare applications of the Zilber-Pink conjecture and dynamical methods to rigidity problems for arithmetic real and complex hyperbolic lattices. Along the way…
Bi--structures on Hermitian symmetric spaces and quadratic relations between CM periods
Ziyang Gao, Emmanuel Ullmo, Andrei Yafaev
In this paper, we introduce the notion of a bi--structure on the tangent space at a CM point on a locally Hermitian symmetric domain. We prove that this bi-$…
Non-density of the exceptional components of the Noether-Lefschetz locus
Gregorio Baldi, Bruno Klingler, Emmanuel Ullmo
We study when the Picard group of smooth surfaces of degree in acquires extra classes. In particular we show that the so called exceptional components of t…
On the Geometric Zilber-Pink Theorem and the Lawrence-Venkatesh method
Gregorio Baldi, Bruno Klingler, Emmanuel Ullmo
Using our recent results on the algebraicity of the Hodge locus for variations of Hodge structures of level at least , we improve the results of Lawrence-Venkatesh in direction…
On the distribution of the Hodge locus
Gregorio Baldi, Bruno Klingler, Emmanuel Ullmo
Given a polarizable -variation of Hodge structures over a complex smooth quasi-projective base , a classical result of Cattani, Deligne and Kaplan says…
Manin-Mumford in arithmetic pencils
Gregorio Baldi, Rodolphe Richard, Emmanuel Ullmo
We obtain a refinement of Manin-Mumford (Raynaud's Theorem) for abelian schemes over some ring of integers. Torsion points are replaced by special 0-cycles, that is reductions modu…