Moduli spaces of stable objects in Enriques categories
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 …
to moduli spaces of stable objects in associated K3 categories. In particular, we settle the …
Derived categories of hearts on Kuznetsov components
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 …
derived category of an abelian category is equivalent to the bounded derived category of the …
Categorical Torelli theorems: results and open problems
L Pertusi, P Stellari - Rendiconti del Circolo Matematico di Palermo Series …, 2023 - Springer
We survey some recent results concerning the so called Categorical Torelli problem. This is
to say how one can reconstruct a smooth projective variety up to isomorphism, by using the …
to say how one can reconstruct a smooth projective variety up to isomorphism, by using the …
Kuznetsov's Fano threefold conjecture via K3 categories and enhanced group actions
A Bayer, A Perry - Journal für die reine und angewandte Mathematik …, 2023 - degruyter.com
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 …
threefolds. Contrary to the original conjecture, we prove the Kuznetsov components of …
Stability conditions and moduli spaces for Kuznetsov components of Gushel–Mukai varieties
We prove the existence of Bridgeland stability conditions on the Kuznetsov components of
Gushel–Mukai varieties, and describe the structure of moduli spaces of Bridgeland …
Gushel–Mukai varieties, and describe the structure of moduli spaces of Bridgeland …
Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces
E Macrì, P Stellari - Birational Geometry of Hypersurfaces: Gargnano del …, 2019 - Springer
We survey the basic theory of non-commutative K3 surfaces, with a particular emphasis to
the ones arising from cubic fourfolds. We focus on the problem of constructing Bridgeland …
the ones arising from cubic fourfolds. We focus on the problem of constructing Bridgeland …
Atomic sheaves on hyper-K\" ahler manifolds via Bridgeland moduli spaces
H Guo, Z Liu - arXiv preprint arXiv:2406.19361, 2024 - arxiv.org
In this paper, we provide new examples of 1-obstructed and atomic sheaves on an infinite
series of locally complete families of projective hyper-K\" ahler manifolds. More precisely,(1) …
series of locally complete families of projective hyper-K\" ahler manifolds. More precisely,(1) …
Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces
We identify the double dual EPW sextic $\widetilde {Y} _ {A^{\perp}} $ and the double EPW
sextic $\widetilde {Y} _A $, associated with a very general Gushel-Mukai fourfold $ X $, with …
sextic $\widetilde {Y} _A $, associated with a very general Gushel-Mukai fourfold $ X $, with …
GLSM realizations of maps and intersections of Grassmannians and Pfaffians
A bstract In this paper we give gauged linear sigma model (GLSM) realizations of a number
of geometries not previously presented in GLSMs. We begin by describing GLSM …
of geometries not previously presented in GLSMs. We begin by describing GLSM …
Gushel-mukai varieties
O Debarre - arXiv preprint arXiv:2001.03485, 2020 - arxiv.org
Gushel-Mukai varieties are smooth (complex) dimensionally transverse intersections of a
cone over the Grassmannian Gr (2, 5) with a linear space and a quadratic hypersurface …
cone over the Grassmannian Gr (2, 5) with a linear space and a quadratic hypersurface …