1 citations · 2 across the 5 of their papers we have counts for
6 papers
An asymptotic -BMT inequality
Nick Rekuski
We refine a bound of Cheng-Feyzbakhsh to prove an asymptotic -Bayer-Macrì-Toda (-BMT) inequality on every smooth polarized complex threefold. The proof relies on a reduction…
Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves
Soheyla Feyzbakhsh, Naoki Koseki, Zhiyu Liu +1
Fix a polarised Calabi-Yau threefold . We reduce a version of the Bayer-Macrì-Toda conjecture for , which ensures the existence of Bridgeland stability conditions on…
Elliptic curves and their principal homogeneous spaces: splitting Severi--Brauer varieties
Eoin Mackall, Nick Rekuski
We consider the question: which elliptic curves appear as the Jacobian of a smooth curve of genus one splitting a Severi--Brauer variety? We provide three new examples. First, we s…
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…
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…
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…