Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties
arXiv:1912.06935 · doi:10.2140/gt.2022.26.3055
Abstract
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 semistable objects in these categories in the even-dimensional case. As applications, we construct a new infinite series of unirational locally complete families of polarized hyperkähler varieties of K3 type, and characterize Hodge-theoretically when the Kuznetsov component of an even-dimensional Gushel-Mukai variety is equivalent to the derived category of a K3 surface.
arXiv comment47 pages, minor updates, final version
References in corpus (14)
- Derived categories of cubic fourfolds
- Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
- Hodge theory and derived categories of cubic fourfolds
- Calabi-Yau and fractional Calabi-Yau categories
- The K3 category of a cubic fourfold
- Gushel--Mukai varieties: classification and birationalities
- Stability conditions on Kuznetsov components
- Stability conditions in families
- Derived categories of Gushel-Mukai varieties
- Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems
- Gushel-Mukai varieties: linear spaces and periods
- Derived categories of cyclic covers and their branch divisors
- On the double EPW sextic associated to a Gushel-Mukai fourfold
- Categorical cones and quadratic homological projective duality
Cited by in corpus (8)
- Stability conditions on Kuznetsov components
- The generalized Franchetta conjecture for some hyper-Kähler varieties, II
- Moduli spaces on the Kuznetsov component of Fano threefolds of index 2
- Some remarks on Fano threefolds of index two and stability conditions
- Serre-invariant stability conditions and Ulrich bundles on cubic threefolds
- Descent conditions for generation in derived categories
- Bridgeland Moduli spaces for Gushel-Mukai threefolds and Kuznetsov's Fano threefold conjecture
- Serre functors and dimensions of residual categories