5 papers · 1 filter
A toric Calabi-Yau counterexample to Schimpf's connected stable pairs pole conjecture
Reginald Anderson
Schimpf's connected reformulation of Pandharipande's pole conjecture for stable pairs predicts the following restriction: in class \(β\), connected descendent coefficients have non…
Planar rank-one sheaves on , obstruction bundles, and divisor-supported Donaldson--Thomas series
Reginald Anderson
Let and let \[ α_n=(0,1,-\tfrac12,\tfrac16-n)\in H^{\mathrm{even}}(X,\mathbb{Q}) \] with respect to the basis , where . We pr…
Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing
Reginald Anderson
We study descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds. We use the wall-crossing setup developed by the author and Joyce…
Rationality of cohomological descendent series for Quot schemes on surfaces with
Reginald Anderson
For a smooth projective surface , Johnson--Oprea--Pandharipande defined cohomological descendent generating series for Quot schemes of rank- quotients of $\OO_S^{\oplus N}$.…
The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds
Reginald Anderson, Dominic Joyce
Let be a projective complex 3-manifold. An effective curve class is called positive if , and superpositive if all the effective summands…