5 papers
Birational Automorphism Bounds for General-Type Foliations on Surfaces via Pluricanonical Indices
Shi Xu
Let be a canonical foliation of general type on a smooth projective surface , and write . Let $G\subseteq…
Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces
Shi Xu
Let \((X,\mathcal F)\) be a foliated surface over the complex numbers. We study the variation of \(ε\)-adjoint singularities associated with the adjoint divisor \[ K_{\mathcal F}+ε…
Noether-type inequalities for big divisors via control of the negative part
Shi Xu
Let be a smooth projective surface over and a big divisor with Zariski decomposition . We study the relationship between the volume $\mathrm{vol}(D)=P^2…
Canonical Models of Adjoint Foliated Structures on Surfaces
Jun Lu, Xiaohang Wu, Shi Xu
In this paper, we study adjoint foliated structures of the form on algebraic surfaces and their minimal and canonical models. We investigate the effective behav…
Rationality of Brauer-Severi surface bundles over rational 3-folds
Shitan Xu
We give a sufficient condition for a Brauer-Severi surface bundle over a rational 3-fold to not be stably rational. Additionally, we present an example that satisfies this conditio…