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arXiv · 2507.03932

Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits

Minseong Kwon
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Abstract

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.

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Minseong Kwon. 2025-07-05. Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits. https://doi.org/10.1007/s00209-026-03987-9

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