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 …

We determine the Gromov-Witten invariants of the local Enriques surfaces for all genera and
curve classes and prove the Klemm-Mari\~{n} o formula. In particular, we show that the …

We introduce a linearised form of the square root of the Todd class inside the Verbitsky
component of a hyper-Kähler manifold using the extended Mukai lattice. This enables us to …

Given a triangulated category $ D $ with an action of a fusion category $ C $, we study the
moduli space $ Stab_ {C}(D) $ of fusion-equivariant Bridgeland stability conditions on $ D …

Given an action of a finite group $ G $ on the derived category of a smooth projective variety
$ X $ we relate the fixed loci of the induced $ G $-action on moduli spaces of stable objects …

Let $ Y $ be a cubic threefold with a non-Eckardt type involution $\tau $. Our first main result
is that the $\tau $-equivariant category of the Kuznetsov component $\mathcal {K} u …

We construct stability conditions on crepant resolutions of quotients of certain product
varieties, giving as a special case the first examples of stability conditions on strict Calabi …

arXiv:2311.15881v1 [math.AG] 27 Nov 2023 Page 1 arXiv:2311.15881v1 [math.AG] 27 Nov 2023
EQUIVARIANT BIRATIONAL TYPES AND DERIVED CATEGORIES CHRISTIAN BOHNING …

Let $ M $ denote a specific cubic fourfold that accommodates a group action by $\mathbb
{Z}/3\mathbb {Z} $. Through utilization of derived Mckay correspondence, we present a new …

This article studies the moduli spaces of semistable objects related to two families of
Enriques categories over K3 surfaces, coming from quartic double solids and special Gushel …