A Graded Surface Model for Rigid Objects in D^b(coh X)
Organizer
Speaker
Li Fan
Time
Saturday, June 13, 2026 4:00 PM - 5:00 PM
Venue
Online
Online
Tencent 482 969 7386
(106457)
Abstract
This is a joint work with Jianmin Chen, Yu Qiu, and Yiting Zheng. We give a surface model for the bounded derived category of coherent sheaves on a weighted projective line of type (2,2,2,2). The surface is a graded sphere with four punctures/binaries, whose graded simple arcs correspond to indecomposable rigid objects. We explain the intersection formula relating morphism spaces to oriented intersections of graded arcs, and describe the compatibility between autoequivalences and the graded mapping class group.