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pro vyhledávání: '"Hong, Jaehyun"'
Autor:
Hong, Jaehyun
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G3, Pp 285-290 (2022)
Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexample is a smooth horospherical variety. There is a weaker conjecture th
Externí odkaz:
https://doaj.org/article/ff674805372e4571abe986df81cb5ef5
Autor:
Hong, Jaehyun, Hwang, Jun-Muk
The works of Commichau--Grauert and Hirschowitz showed that a formal equivalence between embeddings of a compact complex manifold is convergent, if the embeddings have sufficiently positive normal bundles in a suitable sense. We show that the converg
Externí odkaz:
http://arxiv.org/abs/2408.15537
Autor:
Brosnan, Patrick, Escobar, Laura, Hong, Jaehyun, Lee, Donggun, Lee, Eunjeong, Mellit, Anton, Sommers, Eric
We show that regular semisimple Hessenberg varieties can have moduli. To be precise, suppose $X$ is a regular semisimple Hessenberg variety of codimension 1 in the flag variety $G/B$, where $G$ is a simple algebraic group of rank $r$ over $\mathbb{C}
Externí odkaz:
http://arxiv.org/abs/2405.18313
Autor:
Hong, Jaehyun, Seo, Aeryeong
Flag domains are open orbits of noncompact real forms of complex semisimple Lie groups acting on flag manifolds. To each flag domain one can associate a compact complex manifold called the base cycle. The ampleness of the normal bundle of the base cy
Externí odkaz:
http://arxiv.org/abs/2310.16521
Simplicity of tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve
The variety of minimal rational tangents associated to Hecke curves was used by J.-M.Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a curve. In this paper, we use the tangent maps of the symplectic and or
Externí odkaz:
http://arxiv.org/abs/2211.02439
Autor:
Hong, Jaehyun, Kim, Shin-young
Let $X$ be a smooth projective horospherical variety of Picard number one. We show that a uniruled projective manifold of Picard number one is biholomorphic to $X$ if its variety of minimal rational tangents at a general point is projectively equival
Externí odkaz:
http://arxiv.org/abs/2203.10313
Autor:
Hong, Jaehyun, Morimoto, Tohru
Working in the framework of nilpotent geometry, we give a unified scheme for the equivalence problem of geometric structures which extends and integrates the earlier works by Cartan, Singer-Sternberg, Tanaka, and Morimoto. By giving a new formulation
Externí odkaz:
http://arxiv.org/abs/2203.05182
Autor:
Hong, Jaehyun
Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexample is a smooth horospherical variety. There is a weaker conjecture th
Externí odkaz:
http://arxiv.org/abs/2107.01512
Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the cohomology spaces of regular semisimple Hessenberg varieties of type $A$.
Externí odkaz:
http://arxiv.org/abs/2107.00863
Autor:
Hong, Jaehyun, Morimoto, Tohru
Publikováno v:
In Differential Geometry and its Applications February 2024 92