Xun Lin

activity

20222026

most citedIVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfaces

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2026Show all

5 papers · 1 filter

math.AG2026

Orlov's rationality conjecture for surfaces

Xun Lin, Shizhuo Zhang

We prove that a smooth projective surface over $C$ admitting a full exceptional collection of line bundles is rational.

math.AG2026

Categorical Torelli theorem for (weighted) hypersurfaces via singularity category

Xun Lin, Jieheng Zeng, Shizhuo Zhang

We prove categorical Torelli theorems for ordinary and weighted hypersurfaces using the singularity category of the completed affine cone. For Fano hypersurfaces we use the Kuznets…

math.AG2026

Categorical reconstruction of del Pezzo surfaces: Hochschild--Serre algebras and spinor modifications

Xun Lin, Marco Rampazzo, Shizhuo Zhang

We prove that, for every smooth complex del Pezzo surface of degree at most four, the enhanced right orthogonal to the structure sheaf determines the surface up to isomorphism. In…

math.AG2026

Group action of Hochschild-Serre algebra and categorical reconstruction

Xun Lin

We study the action of the Serre functor of smooth proper dg categories at their Hochschild-Serre algebra, and the invariant sub-aglebra of the Serre functor. As applications, we p…

math.AG2026

A note on the noncommutative Hodge conjecture for graded matrix factorizations

Xun Lin, Shizhuo Zhang

Let $m \geq 2$ and $d \geq 7$ . We consider homogeneous polynomials in $2 m + 2$ variables of the form $f = F_{0} (u_{0}, v_{0}) + \dots + F_{m} (u_{m}, v_{m})$ , where the $F_{i}$ are independently very genera…