4 papers
Fixed point locus of Moduli spaces of Sheaves on Toric DM stacks
Promit Kundu
Extending work of Klyachko, Perling and Kool we develop a combinatorial description of torsion free toric sheaves in any dimension on smooth toric DM stacks. We investigate their b…
Tautological families of cyclic covers of projective spaces
Promit Kundu, Jayan Mukherjee, Debaditya Raychaudhury
In this article, we study the existence of tautological families on a Zariski open set of the coarse moduli space parametrizing certain Galois covers over projective spaces. More s…
On the Bogomolov-Gieseker inequality for tame Deligne-Mumford surfaces
Yunfeng Jiang, Promit Kundu, Hao Max Sun
We generalize the Bogomolov-Gieseker inequality for semistable coherent sheaves on smooth projective surfaces to smooth Deligne-Mumford surfaces. We work over positive characterist…
The Tanaka-Thomas's Vafa-Witten invariants via surface Deligne-Mumford stacks
Yunfeng Jiang, Promit Kundu
We provide a definition of Vafa-Witten invariants for projective surface Deligne-Mumford stacks, generalizing the construction of Tanaka-Thomas on the Vafa-Witten invariants for pr…