50 citations · 173 across the 18 of their papers we have counts for
22 papers
The period-index conjecture is false for motivic reasons
Alexander Perry
For any integer and any algebraically closed field of characteristic and transcendence degree at least , or of characteristic and transcendence degree…
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
We extend the construction of stability conditions on projective schemes over a field to projective families over an arbitrary base, and prove that they admit proper relative modul…
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…
Moduli spaces of stable objects in Enriques categories
Alexander Perry, Laura Pertusi, Xiaolei Zhao
We study moduli spaces of stable objects in Enriques categories by exploiting their relation to moduli spaces of stable objects in associated K3 categories. In particular, we settl…
The period-index problem and Hodge theory
Aise Johan de Jong, Alexander Perry
Conditional on the Lefschetz standard conjecture in degree 2, we prove that the index of a Brauer class on a smooth projective variety divides a fixed power of its period, uniforml…
Kuznetsov's Fano threefold conjecture via K3 categories and enhanced group actions
Arend Bayer, Alexander Perry
We settle the last open case of Kuznetsov's conjecture on the derived categories of Fano threefolds. Contrary to the original conjecture, we prove the Kuznetsov components of quart…