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) …

Three approaches to a categorical Torelli theorem for cubic threefolds of non-Eckardt type via the equivariant Kuznetsov components

S Casalaina-Martin, X Hu, X Lin, S Zhang… - arXiv preprint arXiv …, 2024 - arxiv.org
Let $ Y $ be a cubic threefold with a non-Eckardt type involution $\tau $. Our first main result
is that the $\tau $-equivariant category of the Kuznetsov component $\mathcal {K} u …

A moduli space of stable sheaves on a cubic threefold

S Ma, S Yang - arXiv preprint arXiv:2406.10104, 2024 - arxiv.org
arXiv:2406.10104v1 [math.AG] 14 Jun 2024 Page 1 arXiv:2406.10104v1 [math.AG] 14 Jun
2024 A MODULI SPACE OF STABLE SHEAVES ON A CUBIC THREEFOLD SHIHAO MA AND …