1 citations · 2 across the 5 of their papers we have counts for
5 papers
Coherent sheaves in logarithmic geometry
Hannah Dell, Xianyu Hu, Patrick Kennedy-Hunt +2
This paper introduces an abelian category of logarithmic coherent sheaves that arranges coherent sheaves across all expansions and root stacks of a simple normal crossing degenerat…
Grothendieck topologies with logarithmic modifications
Xianyu Hu, Maximilian Schimpf
Many concepts in log geometry are invariant under log blow-ups. To formalize this invariance, we introduce the m-open, m-étale, m-smooth, m-fppf, and m-fpqc topologies for fs log s…
Three approaches to a categorical Torelli theorem for cubic threefolds of non-Eckardt type via the equivariant Kuznetsov components
Sebastian Casalaina-Martin, Xianyu Hu, Xun Lin +2
Let be a cubic threefold with a non-Eckardt type involution . Our first main result is that the -equivariant category of the Kuznetsov component $\mathcal{K}u_{\mathbb{Z}…
Equivariant Kuznetsov Components of Certain Cubic Fourfolds
Xianyu Hu
Let denote a specific cubic fourfold that accommodates a group action by . Through utilization of derived Mckay correspondence, we present a new proof e…
Autoequivalences of Blow-Ups of Minimal Surfaces
Xianyu Hu, Johannes Krah
Let X be the blow-up of the projective plane in a finite set of very general points. We deduce from the work of Uehara that X has only standard autoequivalences, no nontrivial Four…