3 papers
math.AG2026
On rational chain connectedness of globally +-regular varieties
Emre Alp Ãzavcı, Zsolt Patakfalvi, Kevin Tucker +2
We prove that globally -regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic . We also introduce a…
math.AG2025
Lagrangian Fibrations onto Varieties with Isolated Quotient Singularities
Niklas Müller, Zheng Xu
In this note, we show that if is a germ of a projective Lagrangian fibration from a holomorphic symplectic manifold onto a normal analytic variety …
math.AG2025
Local Euler characteristics of -singularities and their application to hyperbolicity
Nils Bruin, Nathan Ilten, Zhe Xu
Wahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the loca…