Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits
Complex Variables
2026-03-10 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2507.03932,
title = {Classification of Equivariant Legendrian Embeddings of Rational Homogeneous Spaces into Nilpotent Orbits},
author = {Minseong Kwon},
journal= {arXiv preprint arXiv:2507.03932},
year = {2026}
}
Comments
v2: accepted version