1 citations · 1 across the 7 of their papers we have counts for
8 papers
The volume of foliated surfaces with geometric genus one
Zhiming Guo, Bokai Hu, Xin Lü
We prove the sharp volume bound for complex foliated surfaces of general type with positive geometric genus. We also study the equality case and…
Albanese fibrations of surfaces with low slope
Songbo Ling, Xin Lü
Let be a minimal irregular surface of general type, whose Albanese map induces a fibration of genus .We prove a linear upper bound on the genus if $K_S^2\l…
Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus
Xin Lu, Shengli Tan, Kang Zuo
We show that there does not exist any Shimura curve with strictly maximal Higgs field generically in the Torelli locus of non-hyperelliptic curves of genus . In particular…
Strict Arakelov inequality for a family of varieties of general type
Xin Lu, Jinbang Yang, Kang Zuo
Let be a semistable non-isotrivial family of -folds over a smooth projective curve with discriminant locus and with general fibre of general ty…
Topological Hyperbolicity of Moduli spaces of Elliptic Surfaces
Xin Lü, Ruiran Sun, Kang Zuo
We introduce the notion of topological hyperbolicity to characterize the largeness of the topological fundamental group of a complex variety. Inspired by the Shafarevich conjecture…
On Higgs bundles over Shimura varieties of ball quotient type
Ke Chen, Xin Lu, Sheng-Li Tan +1
We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due…
Singular Fibers and Kodaira Dimensions
Xin Lu, Sheng-Li Tan, Kang Zuo
Let be a non-isotrivial semi-stable family of varieties of dimension over with singular fibers. Assume that the smooth fibers ar…
On the minimal number of singular fibers with non-compact Jacobians for families of curves over
Xin Lu, Sheng-Li Tan, Wan-Yuan Xu +1
Let be a non-isotrivial family of semi-stable curves of genus defined over an algebraically closed field with singular fibers whose Ja…