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pro vyhledávání: '"Hara, Wahei"'
Autor:
Hara, Wahei
The aim of this article is to prove the derived equivalence for a local model of the simple flop of type $G_2^{\dagger}$, which was found by Kanemitsu. This flop is the only known simple flop that comes from a non-homogeneous roof. The proof of the d
Externí odkaz:
http://arxiv.org/abs/2412.14314
Autor:
Hara, Wahei, Hirano, Yuki
Let $X$ be a generic quasi-symmetric representation of a connected reductive group $G$. The GIT quotient stack $\mathfrak{X}=[X^{\rm ss}(\ell)/G]$ with respect to a generic $\ell$ is a (stacky) crepant resolution of the affine quotient $X/G$, and it
Externí odkaz:
http://arxiv.org/abs/2310.11057
Autor:
Hara, Wahei, Wemyss, Michael
This paper classifies spherical objects in various geometric settings in dimensions two and three, including both minimal and partial crepant resolutions of Kleinian singularities, as well as arbitrary flopping 3-fold contractions with only Gorenstei
Externí odkaz:
http://arxiv.org/abs/2205.11552
We classify rank two vector bundles on a del Pezzo threefold $X$ of Picard rank one whose projectivizations are weak Fano. We also investigate the moduli spaces of such vector bundles when $X$ is of degree five, especially whether it is smooth, irred
Externí odkaz:
http://arxiv.org/abs/2105.10768
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 seven cases.
Comment: 21 pages; minor typos corrected, exposition
Comment: 21 pages; minor typos corrected, exposition
Externí odkaz:
http://arxiv.org/abs/2004.03318
Akademický článek
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Autor:
Hara, Wahei
Publikováno v:
SIGMA 17 (2021), 044, 22 pages
The Abuaf-Ueda flop is a 7-dimensional flop related to $G_2$ homogeneous spaces. The derived equivalence for this flop was first proved by Ueda using mutations of semi-orthogonal decompositions. In this article, we give an alternative proof for the d
Externí odkaz:
http://arxiv.org/abs/1812.10688
Autor:
Hara, Wahei
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 to understand the behavior of tilting-type equivalences for crepant r
Externí odkaz:
http://arxiv.org/abs/1709.09948
Autor:
Hara, Wahei
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 equivalence for Abuaf's flop. Concretely, we study the equivalence for Abuaf's
Externí odkaz:
http://arxiv.org/abs/1706.04417
Autor:
Hara, Wahei
Publikováno v:
Advances in Mathematics 318 (2017) 355-410
In this article, we construct a non-commutative crepant resolution (=NCCR) of a minimal nilpotent orbit closure $\overline{B(1)}$ of type A, and study relations between an NCCR and crepant resolutions $Y$ and $Y^+$ of $\overline{B(1)}$. More precisel
Externí odkaz:
http://arxiv.org/abs/1704.07192