7 papers
Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves
Moritz Hartlieb, Weite Pi
We study Brauer groups of the smooth loci in linear systems on simply connected smooth projective varieties. Under a suitable ampleness condition, we prove that the Brauer group is…
On the Chern filtration for the moduli of bundles on curves
Woonam Lim, Miguel Moreira, Weite Pi
We introduce and study the Chern filtration on the cohomology of the moduli of bundles on curves. This can be viewed as a natural cohomological invariant defined via tautological c…
Cohomological stabilization, perverse filtrations, and refined BPS invariants for del Pezzo surfaces
Weite Pi, Junliang Shen, Fei Si +1
We prove an asymptotic product formula for the refined BPS invariants associated with a local del Pezzo surface. Our formula governs the cohomological stabilization of the perverse…
Cohomology rings of the moduli of one-dimensional sheaves on the projective plane
Yakov Kononov, Woonam Lim, Miguel Moreira +1
We initiate a systematic study on the cohomology rings of the moduli stack of semistable one-dimensional sheaves on the projective plane. We introduce a set of…
Cohomological -dependence of ring structure for the moduli of one-dimensional sheaves on
Woonam Lim, Miguel Moreira, Weite Pi
We prove that the cohomology rings of the moduli space of one-dimensional sheaves on the projective plane are not isomorphic for general different choices of the Euler ch…
Perverse filtrations, Chern filtrations, and refined BPS invariants for local
Yakov Kononov, Weite Pi, Junliang Shen
We explore connections between three structures associated with the cohomology of the moduli of 1-dimensional stable sheaves on : perverse filtrations, tautological c…
Generators for the cohomology ring of the moduli of one-dimensional sheaves on
Weite Pi, Junliang Shen
We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional sheaves on of any degree. We obtain a minimal set of tautological generat…