15 papers · 1 filter
Stability conditions on noncommutative crepant resolutions of 3-dimensional isolated singularities
Wahei Hara, Yuki Hirano
Let be a 3-dimensional complete local Gorenstein isolated singularity. For a basic maximal modifying -module , we construct a wall-and-chamber structure, denoted by ${\sf…
Window categories for a simple -fold flop of Grassmannian type
Will Donovan, Wahei Hara, Michał Kapustka +1
The local simple -fold flop of Grassmannian type is a birational transformation between total spaces of vector bundles on the Grassmannians and $\mathrm{Gr}(…
Spherical and Semibrick Classifications
Wahei Hara, Michael Wemyss
This article provides an overview of the techniques related to classification of spherical and more general objects within triangulated categories, and its relationship with algebr…
Derived equivalence for the simple flop of type via tilting bundles
Wahei Hara
The aim of this article is to discuss the derived equivalence problem for a local model of the simple flop of type , which was found by Kanemitsu. First, tilting bundles on bo…
Rank two Weak Fano bundles on Fano threefolds of Picard rank one
Takeru Fukuoka, Wahei Hara, Daizo Ishikawa
We classify rank two vector bundles on a Fano threefold of Picard rank one whose projectivizations are weak Fano. We also prove the existence of examples for each case of the class…
Derived equivalence for the simple flop of type via tilting bundles
Wahei Hara
The aim of this article is to prove the derived equivalence for a local model of the simple flop of type , which was found by Kanemitsu. This flop is the only known…