تقرير
Characterizing subadjoint varieties among Legendrian varieties
| العنوان: | Characterizing subadjoint varieties among Legendrian varieties |
|---|---|
| المؤلفون: | Hwang, Jun-Muk |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14M15, 53A20, 53D10 |
| الوصف: | For a symplectic vector space $V$, a projective subvariety $Z \subset {\bf P} V$ is a Legendrian variety if its affine cone $\widehat{Z} \subset V$ is Lagrangian. In addition to the classical examples of subadjoint varieties associated to simple Lie algebras, many examples of nonsingular Legendrian varieties have been discovered which have positive-dimensional automorphism groups. We give a characterization of subadjoint varieties among such Legendrian varieties in terms of the isotropy representation. Our proof uses some special features of the projective third fundamental forms of Legendrian varieties and their relation to the lines on the Legendrian varieties. Comment: to appear in Ann. Inst. Fourier (Grenoble) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.19376 |
| رقم الأكسشن: | edsarx.2404.19376 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |