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math.AG2023★ 1 cited
Contractibility of the geometric stability manifold of a surface
Nick Rekuski
Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We the…
math.AG2023★ 1 cited
Stability of Kernel Sheaves on Del Pezzo Surfaces
Nick Rekuski
Using techniques from Bridgeland stability, we show the kernel sheaf associated to sufficiently positive Gieseker stable sheaf on a Del Pezzo surface is slope stable. This is the f…
math.AG2023
Stability of Kernel Sheaves Associated to Rank One Torsion-Free Sheaves
Nick Rekuski
We show the kernel sheaf associated to a sufficiently positive torsion-free sheaf of rank 1 is slope stable. Furthermore, we are able to give an explicit bound for "sufficiently po…