8 papers
Enumerative Geometry and Tree-Level Gromov--Witten Invariants
Reginald Anderson, Carrie Frizzell
Here we review background in differential topology related to the calculation of an euler characteristic, and background on localization in equivariant cohomology. We then outline…
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 summan…
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 $\OO_S^{\oplus N}$.…
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…
Exceptional Collections for Toric Fano Fivefolds
Reginald Anderson
Resolutions of the diagonal of toric varieties has been an active area of study since Beilinson's celebrated resolution of the diagonal for $\PP^n$ and the disproof of King's conje…
A Resolution of the Diagonal for Smooth Projective Toric Varieties
Reginald Anderson
The cellular construction of Bayer-Popescu-Sturmfels extends Beilinson's diagonal resolution from projective space to projective toric varieties whose lattice of principal divisors…