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 settle the …

We prove a general criterion that guarantees that an admissible subcategory KK of the
derived category of an abelian category is equivalent to the bounded derived category of the …

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 study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds.
We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of …

We show that the stability conditions on the Kuznetsov component of a Gushel–Mukai
threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre …

Using the technique of categorical absorption of singularities we prove that the nontrivial
components of the derived categories of del Pezzo threefolds of degree\(d\in\{2, 3, 4, 5\}\) …

We show that the moduli space MX (v) of Gieseker stable sheaves on a smooth cubic
threefold X with Chern character v=(3,− H,− 1 2 H 2, 1 6 H 3) is smooth and of dimension …

For each $0<\alpha<\frac {1}{2} $, there exists a Bayer--Lahoz--Macr {\{\i}}--Stellari's
inducing Bridgeland stability condition $\sigma (\alpha) $ on a Kuznetsov component …

Moduli spaces of sheaves provide examples of algebraic varieties with an interesting and
rich geometry and they have been widely studied in the past few decades. In particular …

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 …