activity
20222025
most citedOn numerical dimensions of Calabi--Yau varieties

2 citations · 2 across the 4 of their papers we have counts for

collaborators

7 papers

math.AG2025

Dynamical Iitaka theory on Fano contractions

Sheng Meng, Long Wang, Tianle Yang

We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application…

math.PR2024

Multifractal spectrum of branching random walks on free groups

Shuwen Lai, Heng Ma, Longmin Wang

Consider a symmetric branching random walk on a free group in the transient regime , where is the mean offspring number and is the reciprocal of the…

math.AG2024

The effective cone conjecture for Calabi--Yau pairs

Cécile Gachet, Hsueh-Yung Lin, Isabel Stenger +1

We formulate an effective cone conjecture for klt Calabi--Yau pairs , pertaining to the structure of the cone of effective divisors modulo the action of th…

math.AG2022

Arithmetic degrees and Zariski dense orbits of cohomologically hyperbolic maps

Yohsuke Matsuzawa, Long Wang

A dominant rational self-map on a projective variety is called -cohomologically hyperbolic if the -th dynamical degree is strictly larger than other dynamical degrees. For su…

math.AG2022

Smooth projective surfaces with infinitely many real forms

Tien-Cuong Dinh, Cécile Gachet, Hsueh-Yung Lin +3

The aim of this paper is twofold. First of all, we confirm a few basic criteria of the finiteness of real forms of a given smooth complex projective variety, in terms of the Galois…

math.AG2022

Nef cones of fiber products and an application to the Cone Conjecture

Cécile Gachet, Hsueh-Yung Lin, Long Wang

We prove a decomposition theorem for the nef cone of smooth fiber products over curves, subject to the necessary condition that their Néron--Severi space decomposes. We apply it to…

math.AG2022★ 2 cited

On numerical dimensions of Calabi--Yau varieties

Chen Jiang, Long Wang

Let be a Calabi--Yau variety of Picard number two with infinite birational automorphism group. We show that the numerical dimension of the extremal rays of t…