Samuel Stark

collaborators

3 papers

math.AG2026

On the Quot scheme $Quot_{S}^{l} (E)$

Samuel Stark

We study the geometry of the Quot scheme $Quot_{S}^{l} (E)$ of length $l$ coherent sheaf quotients of a locally free sheaf $E$ on a smooth projective surf…

math.AG2026

PlÃ¼cker degrees of Quot schemes

Samuel Stark

We study the PlÃ¼cker degree of the main component of the Quot scheme of length $l$ quotients of a locally free sheaf on a smooth projective scheme $S$ of dimension $d\geq…

math.AG2025

Deformations of the Fano scheme of a cubic

Samuel Stark

We study the deformation theory of the Fano scheme $F = F (X)$ of lines on a cubic $X$ of dimension $d$ with only finitely many singularities. By t…

On the Quot scheme QuotSl​(E)

PlÃ¼cker degrees of Quot schemes

Deformations of the Fano scheme of a cubic

On the Quot scheme $Quot_{S}^{l} (E)$