On equivariant derived categories
T Beckmann, G Oberdieck - European Journal of Mathematics, 2023 - Springer
We study the equivariant category associated to a finite group action on the derived category
of coherent sheaves of a smooth projective variety. In particular, we discuss decompositions …
of coherent sheaves of a smooth projective variety. In particular, we discuss decompositions …
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 …
Curve counting on the Enriques surface and the Klemm-Mari\~{n} o formula
G Oberdieck - arXiv preprint arXiv:2305.11115, 2023 - arxiv.org
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 …
curve classes and prove the Klemm-Mari\~{n} o formula. In particular, we show that the …
Classification of Symplectic Birational Involutions of Manifolds of type
L Marquand, S Muller - arXiv preprint arXiv:2206.13814, 2022 - arxiv.org
In this paper we give a classification of symplectic birational involutions of manifolds of $
OG10 $-type. We approach this classification with three techniques-via involutions of the …
OG10 $-type. We approach this classification with three techniques-via involutions of the …
Symplectic rigidity of O'Grady's tenfolds
Symplectic rigidity of O’Grady’s tenfolds Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 152, Number 7, July 2024, Pages 2813–2820 https://doi.org/10.1090/proc/16810 …
MATHEMATICAL SOCIETY Volume 152, Number 7, July 2024, Pages 2813–2820 https://doi.org/10.1090/proc/16810 …
On two families of Enriques categories over K3 surfaecs
Z Liu - arXiv preprint arXiv:2412.06921, 2024 - arxiv.org
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 …
Enriques categories over K3 surfaces, coming from quartic double solids and special Gushel …
Fixed loci of symplectic automorphisms of and -Kummer type manifold
L Kamenova, G Mongardi, A Oblomkov - arXiv preprint arXiv:2308.14692, 2023 - arxiv.org
The aim of this paper is to give an explicit description of the fixed loci of symplectic
automorphisms for certain hyperkahler manifolds, namely for Hilbert schemes on K3 …
automorphisms for certain hyperkahler manifolds, namely for Hilbert schemes on K3 …
Projective models of Nikulin orbifolds
C Camere, A Garbagnati, G Kapustka… - arXiv preprint arXiv …, 2021 - arxiv.org
We study projective fourfolds of $ K3^{[2]} $-type with a symplectic involution and the
deformations of their quotients, called orbifolds of Nikulin types; they are IHS orbifolds. We …
deformations of their quotients, called orbifolds of Nikulin types; they are IHS orbifolds. We …
Projective orbifolds of Nikulin type
C Camere, A Garbagnati, G Kapustka… - Algebra & Number …, 2023 - msp.org
We study projective irreducible symplectic orbifolds of dimension four that are deformations
of partial resolutions of quotients of hyperkähler manifolds of K 3 [2]-type by symplectic …
of partial resolutions of quotients of hyperkähler manifolds of K 3 [2]-type by symplectic …
Equivariant Kuznetsov Components of Certain Cubic Fourfolds
X Hu - arXiv preprint arXiv:2312.17392, 2023 - arxiv.org
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 …
{Z}/3\mathbb {Z} $. Through utilization of derived Mckay correspondence, we present a new …