derived categories 1local calabi-yau 1moduli spaces 1projective families 1stability conditions 1tilt stability 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
The period-index conjecture is false
Alexander Perry
For any uncountable algebraically closed field of characteristic and any , we construct a variety over of dimension with a Brauer class which violates the…
math.AG2026
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
The paper extends Bridgeland stability conditions from projective schemes to families over arbitrary bases, establishing proper relative moduli spaces and proving related mass‑Hom…
math.AG2026
The semiregularity theorem for equivariant noncommutative varieties
Alexander Perry
We generalize the classical semiregularity theorem of Buchweitz and Flenner to the setting of noncommutative algebraic geometry, with group actions. This applies in particular to t…