Degrees of some orthogonal Deligne--Lusztig varieties

2023/05/09 by Yuta Nakayama, Nakayama, Yuta
Mathematics · #11G25 (Primary) 11G18 #14G15 (Secondary) #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2305.05326

openalex publication_date 2023/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show a degree formula for a type of orthogonal Deligne--Lusztig varieties and their Plücker embeddings. This is an analog of work of Li on a unitary case.

Related

• Degrees of unitary Deligne-Lusztig varieties
• On affine Deligne-Lusztig varieties for Sp₄(L)
• On affine Lusztig varieties
• Affine Deligne-Lusztig varieties associated with generic Newton points
• Some results on affine Deligne-Lusztig varieties