We develop a theory of Bridgeland stability conditions and moduli spaces of semistable
objects for a family of varieties. Our approach is based on and generalizes previous work by …

Birational geometry of irreducible holomorphic symplectic tenfolds of O’Grady type |
Mathematische Zeitschrift Skip to main content SpringerLink Account Menu Find a journal …

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 …

We prove the generalized Franchetta conjecture for the locally complete family of hyper-
Kähler eightfolds constructed by Lehn–Lehn–Sorger–van Straten (LLSS). As a corollary, we …

arXiv:2109.13549v4 [math.AG] 24 Jan 2023 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 7 (2023), Article No. 1 Serre-invariant stability conditions and …

We show that the intermediate Jacobian fibration associated to any smooth cubic fourfold X
admits a hyper-Kähler compactification J (X) with a regular Lagrangian fibration π: J→ ℙ 5 …

We introduce the notion of a Hyper-Kähler manifold X induced by a Hodge structure of K3-
type. We explore this notion for the known deformation types of Hyper-Kähler manifolds …

We investigate how the motive of hyper-Kähler varieties is controlled by weight-2 (or surface-
like) motives via tensor operations. In the first part, we study the Voevodsky motive of …

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 …

We give a lattice-theoretic characterization for a manifold of type associated to any smooth
cubic fourfold. Moreover, we determine when a birational transformation is induced by an …