2025/02/20 by Pavel, Mihai, Tajakka, Tuomas
#14D20 #14D22 #14D23 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2502.14530
We construct a globally generated line bundle on the moduli stack of higher-rank PT-semistable objects over a smooth projective threefold and analyze the extent to which it separates points. Furthermore, when the rank and degree are coprime, we refine our construction to obtain an explicit ample line bundle on the corresponding coarse moduli space of PT-stable objects, thereby establishing its projectivity.