5 citations · 6 across the 2 of their papers we have counts for
5 papers
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…
Effectivity in the Hyperbolicity-related problems
Ya Deng
The aim of this work is to deal with effective questions related to the Kobayashi and Debarre conjectures, and based on the work of Damian Brotbek and Lionel Darondeau. We first sh…
Non-Degeneracy of Kobayashi Volume Measures for Singular Directed Varieties
Ya Deng
In this note, we prove the generic Kobayashi volume measure hyperbolicity of singular directed varieties , as soon as the canonical sheaf of is big in…
Degeneracy of entire curves into higher dimensional complex manifolds
Ya Deng
Pursuing McQuillan's philosophy in proving the Green-Griffiths conjecture for certain surfaces of general type, we deal with the algebraic degeneracy of entire curves tangent to ho…
Transcendental Morse Inequality and Generalized Okounkov Bodies
Ya Deng
The main goal of this article is to construct "arithmetic Okounkov bodies" for an arbitrary pseudo-effective (1,1)-class on a Kähler manifold. Firstly, using Boucksom's divisor…