3 papers
math.AG2024
Lens spaces as dual complexes of Log Calabi-Yau pairs
Morgan V Brown
We demonstrate the construction of singular log Calabi-Yau -folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with a…
math.AG2024
On the structure of the complement of skeleton
Morgan Brown, Jiachang Xu, Muyuan Zhang
We study the higher dimensional geometry of Berkovich spaces using virtual open disks, which are given by fibration of relative dimension . Inspired by birational geometry, we c…
math.AG2019
The Dual Complex of a semi-log canonical Surface
Morgan V Brown
Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary of a log canonical pair , and also appe…