Junyi Xie

activity

20112026

most citedPeriodic points of birational maps on projective surfaces

57 citations · 128 across the 26 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.AG2020

Continuous functions on Berkovich spaces

Junyi Xie

Let $k$ be a perfect complete valued field with a nontrivial non-archimedean norm $∣ \cdot ∣$ and $ω \in k$ with $0 < ∣ ω ∣ < 1.$ Let $X$ be a reduced and normal $k$ -analytic space. Then $O…

math.AG2020★ 1 cited

Three chapters on Cremona groups

Serge Cantat, Julie Déserti, Junyi Xie

In the first part of this article, we answer a question of I. Dolgachev, which is related to the following problem: given a birational map $f\in\mathrm{Bir}(\mathbb{P}^m_\mathbf{k}…

math.AG2020

Birational conjugacies between endomorphisms on the projective plane

Serge Cantat, Junyi Xie

We proved that, in characteristic 0, if two dominant endomorphisms of the projective plane of degree at least 2 are conjugate by some birational transformation, then they are conju…

math.AG2020★ 5 cited

Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits

Jia Jia, Junyi Xie, De-Qi Zhang

Let $f : X \to X$ be a surjective endomorphism of a normal projective surface. When $deg f \geq 2$ , applying an (iteration of) $f$ -equivariant minimal model pro…

math.DS2020

Free actions of large groups on complex threefolds

Serge Cantat, Olga Paris-Romaskevich, Junyi Xie

We classify compact Kähler threefolds $X$ with a free group of automorphisms acting freely on $X$ .