14 citations · 27 across the 8 of their papers we have counts for
10 papers
Pluriharmonic maps into buildings and symmetric differentials
Damian Brotbek, Georgios Daskalopoulos, Ya Deng +1
Given a complex smooth quasi-projective variety , a semisimple algebraic group defined over some non-archimedean local field and a Zariski dense representation $\varrho:…
Arakelov-Nevanlinna inequalities for variations of Hodge structures and applications
Damian Brotbek, Yohan Brunebarbe
We prove a Second Main Theorem type inequality for any log-smooth projective pair such that supports a complex polarized variation of Hodge structures. This…
Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree
Damian Brotbek, Ya Deng
In this paper, we prove that in any projective manifold, the complements of general hypersurfaces of sufficiently large degree are Kobayashi hyperbolic. We also provide an effectiv…
On the positivity of the logarithmic cotangent bundle
Damian Brotbek, Ya Deng
The aim of this work is to construct examples of pairs whose logarithmic cotangent bundles have strong positivity properties. These examples are constructed from any smooth n-dimen…
On the hyperbolicity of general hypersurfaces
Damian Brotbek
In 1970, Kobayashi conjectured that general hypersurfaces of sufficiently large degree in are hyperbolic. In this paper we prove that a general sufficiently ample hypersurfac…
Complete intersection varieties with ample cotangent bundles
Damian Brotbek, Lionel Darondeau
Any smooth projective variety contains many complete intersection subvarieties with ample cotangent bundles, of each dimension up to half its own dimension.