Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911494679035904 |
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| author | Kwon, Minseong |
| author_facet | Kwon, Minseong |
| contents | For a complex semi-simple Lie algebra, every nilpotent orbit in its projectivization comes with a complex contact structure. For each nilpotent orbit, we classify projective Legendrian subvarieties that are homogeneous under the actions of their stabilizers in the adjoint group. In particular, we present a classification of equivariant Legendrian embeddings of rational homogeneous spaces into adjoint varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits Kwon, Minseong Complex Variables Algebraic Geometry 17B08, 14M17, 53D10 For a complex semi-simple Lie algebra, every nilpotent orbit in its projectivization comes with a complex contact structure. For each nilpotent orbit, we classify projective Legendrian subvarieties that are homogeneous under the actions of their stabilizers in the adjoint group. In particular, we present a classification of equivariant Legendrian embeddings of rational homogeneous spaces into adjoint varieties. |
| title | Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits |
| topic | Complex Variables Algebraic Geometry 17B08, 14M17, 53D10 |
| url | https://arxiv.org/abs/2507.03932 |