4 papers
Topological Models for Categories Associated with the Weighted Projective Lines of Type
Jianmin Chen, Li Fan, Yu Qiu +1
We construct a geometric model for the derived category of the weighted projective line of type using a graded sphere with four binaries. More precise…
Euler characteristic of crepant resolutions of specific modular quotient singularities
Linghu Fan
In this paper, we consider a generalization of the McKay correspondence in positive characteristic regarding the Euler characteristic of crepant resolutions of quotient singulariti…
Categorical realization of collapsing subsurfaces and perverse schobers
Li Fan, Suiqi Lu
We study the categorification of collapsed Riemann surfaces with quadratic differentials allowing arbitrary order zeros and poles via the Verdier quotient. We establish an isomorph…
Dg enhanced orbit categories and applications
Li Fan, Bernhard Keller, Yu Qiu
Our aim in this paper is to prove two results related to the three constructions of cluster categories: as orbit categories, as singularity categories and as cosingularity categori…