12 citations · 13 across the 2 of their papers we have counts for
3 papers
math.AG2018
Donaldson-Thomas invariants of abelian threefolds and Bridgeland stability conditions
Georg Oberdieck, Dulip Piyaratne, Yukinobu Toda
We study the reduced Donaldson-Thomas theory of abelian threefolds using Bridgeland stability conditions. The main result is the invariance of the reduced Donaldson-Thomas invarian…
math.AG2017★ 1 cited
Stability Conditions Under the Fourier-Mukai Transforms on Abelian Threefolds
Dulip Piyaratne
We realize explicit symmetries of Bridgeland stability conditions on any abelian threefold given by Fourier-Mukai transforms. In particular, we extend the previous joint work with…
math.AG2017★ 12 cited
Stability conditions, Bogomolov-Gieseker type inequalities and Fano 3-folds
Dulip Piyaratne
We develop a framework to modify the Bogomolov-Gieseker type inequality conjecture introduced by Bayer-Macri-Toda, in order to construct a family of geometric Bridgeland stability…