10 citations · 14 across the 6 of their papers we have counts for
7 papers
Semiorthogonal indecomposability for Hilbert schemes of points on integral locally planar curves
Qingyuan Jiang, Xun Lin
Let be an integral projective curve of arithmetic genus with locally planar singularities over an algebraically closed field. We prove that for every , bot…
Fully faithful functors, skyscraper sheaves, and birational equivalence
Chunyi Li, Xun Lin, Xiaolei Zhao
Let and be two smooth projective varieties such that there is a fully faithful exact functor from to . We show that and …
Some remarks of Hochschild homology and semi-orthogonal decompositions
Xun Lin
Given a nontrivial semi-orthogonal decomposition $\Perf(\X)=\langle \mathcal{A},\mathcal{B}\rangle$, and assume that the base locus of $ω_{\X}$ is a proper closed subset, it was pr…
Indecomposability of the bounded derived categories of Brill-Noether varieties
Xun Lin, Chenglong Yu
We prove that the bounded derived category of coherent sheaves of the Brill-Noether variety that parametrizing linear series of degree and dimension on a gen…
Categorical Torelli theorems for Gushel-Mukai threefolds
Augustinas Jacovskis, Xun Lin, Zhiyu Liu +1
We show that a general ordinary Gushel-Mukai(GM) threefold is reconstructed from the Kuznetsov component together with an extra data coming from tautological…
On nonexistence of semi-orthogonal decompositions in algebraic geometry
Xun Lin
The nonexistence of semi-orthogonal decompositions in algebraic geometry is known to be governed by the base locus of the canonical bundle. We study another locus, namely the inter…
Noncommutative Hodge conjecture
Xun Lin
The paper provides a version of the rational Hodge conjecture for $\3\dg$ categories. The noncommutative Hodge conjecture is equivalent to the version proposed in \cite{perry2020in…