From the 1 of 6 linked papers with an AI index.
6 papers
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
The paper extends Bridgeland stability conditions from projective schemes to families over arbitrary bases, establishing proper relative moduli spaces and proving related mass‑Hom…
The geometry of antisymplectic involutions, II
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady +1
We continue our study of fixed loci of antisymplectic involutions on projective hyper-Kähler manifolds of -type induced by an ample class of square 2 in the Bea…
Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories
Alessio Bottini, Emanuele Macrì, Paolo Stellari
We review recent developments in the theory of compact hyper-Kähler varieties, from the viewpoint of Lagrangian fibrations, moduli spaces of stable sheaves, and derived categories…
Stability conditions on products of curves and Hilbert schemes of surfaces
Chunyi Li, Emanuele Macrì, Alexander Perry +2
We prove that stability conditions on the derived category of a product of curves of positive genus are uniquely determined by their central charge and the phase of skyscraper shea…
Mukai bundles on Fano threefolds
Arend Bayer, Alexander Kuznetsov, Emanuele Macrì
We give a proof of Mukai's Theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literat…
Mukai models of Fano varieties
Arend Bayer, Alexander Kuznetsov, Emanuele Macrì
We give a self-contained and simplified proof of Mukai's classification of prime Fano threefolds of index 1 and genus with at most Gorenstein factorial terminal singulari…