23 citations · 57 across the 12 of their papers we have counts for
13 papers
Thurston compactifications of spaces of stability conditions on curves
Kohei Kikuta, Naoki Koseki, Genki Ouchi
In this paper, we construct a compactification of the space of Bridgeland stability conditions on a smooth projective curve, as an analogue of Thurston compactifications in Teichmü…
Symmetric products of dg categories and semi-orthogonal decompositions
Naoki Koseki
In this article, we investigate semi-orthogonal decompositions of the symmetric products of dg-enhanced triangulated categories. Given a semi-orthogonal decomposition $\mathcal{D}=…
Perverse schobers and Orlov equivalences
Naoki Koseki, Genki Ouchi
A perverse schober is a categorification of a perverse sheaf proposed by Kapranov--Schechtman. In this paper, we construct examples of perverse schobers on the Riemann sphere, whic…
Cohomological -independence for Higgs bundles and Gopakumar-Vafa invariants
Tasuki Kinjo, Naoki Koseki
The aim of this paper is two-fold: Firstly, we prove Toda's -independence conjecture for Gopakumar--Vafa invariants of arbitrary local curves. Secondly, following Davison's work…
Categorical blow-up formula for Hilbert schemes of points
Naoki Koseki
Let be a smooth projective surface, and be its blow-up at a point. In this paper, we study the derived category of the Hilbert scheme of points on the blow-up $\hat{S…
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…
On the Bogomolov-Gieseker inequality for hypersurfaces in the projective spaces
Naoki Koseki
We investigate the stronger form of the Bogomolov-Gieseker inequality on smooth hypersurfaces in the projective space of any degree and dimension. The main technical tool is the th…
Stability conditions on Calabi-Yau double/triple solids
Naoki Koseki
In this paper, we prove a stronger form of the Bogomolov-Gieseker (BG) inequality for stable sheaves on two classes of Calabi-Yau threefolds, namely, weighted hypersurfaces inside…
Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups
Naoki Koseki
In order to study wall crossing formula of Donaldson type invariants on the blown-up plane, Nakajima-Yoshioka constructed a sequence of blow-up/blow-down diagrams connecting the mo…
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…
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…
Perverse coherent sheaves on blow-ups at codimension 2 loci
Naoki Koseki
Let be the blow-up of a smooth projective variety along its codimension two smooth closed subvariety. In this paper, we show that the moduli space of stable…
Stability conditions on product threefolds of projective spaces and Abelian varieties
Naoki Koseki
In this paper, we prove BG-type inequality conjecture for threefolds in the title. In particular, there exist Bridgeland stability conditions on these threefolds.