Feiyang Lin

collaborators

4 papers

math.AG2025

The locally free locus of Quot schemes on $P^{1}$

Feiyang Lin, Theodore Lysek

We characterize components of the locally free locus $Quot_{P^{1}}^{n, d} (O (e))^{\circ}$ of the Quot scheme associated to any vector bundle on…

math.AG2025

A Borel--Weil--Bott theorem for Quot schemes on $P^{1}$

Ajay Gautam, Feiyang Lin, Shubham Sinha

We study the cohomology groups of tautological bundles on Quot schemes over the projective line, which parametrize rank $r$ quotients of a vector bundle $V$ on $P^{1}$ . Our…

math.AG2025

When are splitting loci Gorenstein?

Feiyang Lin

Splitting loci are certain natural closed substacks of the stack of vector bundles on $P^{1}$ , which have found interesting applications in the Brill-Noether theory of $k$ -g…

math.AG2025

Resolving the Singularities of Splitting Loci

Feiyang Lin

We construct modular resolutions of singularities for splitting loci, and use them to show that tame splitting loci have rational singularities. As a corollary of our results and H…

The locally free locus of Quot schemes on P1

A Borel--Weil--Bott theorem for Quot schemes on P1

When are splitting loci Gorenstein?

Resolving the Singularities of Splitting Loci

The locally free locus of Quot schemes on $P^{1}$

A Borel--Weil--Bott theorem for Quot schemes on $P^{1}$