4 citations · 6 across the 4 of their papers we have counts for
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Extensions and Segre stratifications over algebraic surfaces
Thomas Goller, Yinbang Lin
We study two closely related topics over algebraic surfaces: stability of extensions of stable sheaves by stable sheaves, and maximal subsheaves of a given stable sheaf. For the fo…
Gaeta resolutions and strange duality over rational surfaces
Thomas Goller, Yinbang Lin
Over the projective plane and at most two-step blowups of Hirzebruch surfaces, where there are strong full exceptional sequences of line bundles, we obtain foundational results abo…
Rank-one sheaves and stable pairs on surfaces
Thomas Goller, Yinbang Lin
We study rank-one sheaves and stable pairs on a smooth projective complex surface. We obtain an embedding of the moduli space of limit stable pairs into a smooth space. The embeddi…
A weighted topological quantum field theory for Quot schemes on curves
Thomas Goller
We study Quot schemes of vector bundles on algebraic curves. Marian and Oprea gave a description of a topological quantum field theory (TQFT) studied by Witten in terms of intersec…
Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces
Aaron Bertram, Thomas Goller, Drew Johnson
We study Le Potier's strange duality on del Pezzo surfaces using quot schemes to construct independent sections of theta line bundles on moduli spaces of sheaves, one of which is t…