3 papers
math.AG2024
The canonical map of a foliated surface of general type
Xin Lü
Let be a foliated surface over the complex number of general type, i.e., the Kodaira dimension . We study the geometry of the canonic…
math.AG2024
Slopes of fibrations with trivial vertical fundamental groups
Xiao-Lei Liu, Xin Lu
Kodaira fibrations have non-trivial vertical fundamental groups and their slopes are all . In this paper, we show that is indeed the sharp upper bound for the slopes of fi…
math.AG2024
The Poincaré Problem for a foliated surface
Xin Lü, Shengli Tan
Let be a foliation on a smooth projective surface over the complex number . We introduce three birational non-negative invariants ,…