7 citations · 9 across the 16 of their papers we have counts for
16 papers
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…
Mutations of noncommutative crepant resolutions in geometric invariant theory
Wahei Hara, Yuki Hirano
Let be a generic quasi-symmetric representation of a connected reductive group . The GIT quotient stack with respect to a generic …
Spherical objects in dimensions two and three
Wahei Hara, Michael Wemyss
This paper classifies spherical objects in various geometric settings in dimensions two and three, including both minimal and partial crepant resolutions of Kleinian singularities,…
Rank two weak Fano bundles on del Pezzo threefolds of degree five
Takeru Fukuoka, Wahei Hara, Daizo Ishikawa
This paper classifies rank two vector bundles on a del Pezzo threefold of degree five whose projectivizations are weak Fano. This classification is then used to determine prope…
Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four
Takeru Fukuoka, Wahei Hara, Daizo Ishikawa
We classify rank two vector bundles on a given del Pezzo threefold of degree four whose projectivizations are weak Fano into seven cases. We also give an example for each of these…
On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions
Wahei Hara
The Abuaf-Ueda flop is a 7-dimensional flop related to homogeneous spaces. The derived equivalence for this flop was first proved by Ueda using mutations of semi-orthogonal d…
Deformation of tilting-type derived equivalences for crepant resolutions
Wahei Hara
We say that an exact equivalence between the derived categories of two algebraic varieties is tilting-type if it is constructed by using tilting bundles. The aim of this article is…
On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists
Wahei Hara
Recently, Segal constructed a derived equivalence for an interesting 5-fold flop that was provided by Abuaf. The aim of this article is to add some results for the derived equivale…
Non-commutative crepant resolution of minimal nilpotent orbit closures of type A and Mukai flops
Wahei Hara
In this article, we construct a non-commutative crepant resolution (=NCCR) of a minimal nilpotent orbit closure of type A, and study relations between an NCCR and…
Strong full exceptional collections on certain toric varieties with Picard number three via mutations
Wahei Hara
In this paper, we study derived categories of certain toric varieties with Picard number three that are blowing-up another toric varieties along their torus invariant loci of codim…
Dimension of the singularity category of a variety with rational singularities
Wahei Hara
In this paper, we study the Rouquier dimension of the singularity category of a variety with rational singularity. We construct an upper bound for the dimension of $\mathrm{D}_{\ma…