3 papers
math.AG2025
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…
math.AG2024
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…
math.AG2023
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…