3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.AG2020★ 3 cited
On the Bogomolov-Gieseker inequality in positive characteristic
Naoki Koseki
We prove a version of the Bogomolov-Gieseker inequality on smooth projective surfaces of general type in positive characteristic, which is stronger than the result by Langer when t…
math.AG2019
Derived categories of Thaddeus pair moduli spaces via d-critical flips
Naoki Koseki, Yukinobu Toda
We show that the moduli spaces of Thaddeus pairs on smooth projective curves and those of dual pairs are related by d-critical flips, which are virtual birational transformations i…
math.AG2018
Stability conditions on threefolds with nef tangent bundles
Naoki Koseki
In this paper, we prove the Bogomolov-Gieseker type inequality conjecture for threefolds with nef tangent bundles. As a corollary, there exist Bridgeland stability conditions on th…