Ulrich complexity and categorical representability dimension

2025/04/13 by Saša Novaković, Novaković, Saša
Computer Science · Mathematics · #14J60 #14M15 #18G80 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2504.09683

openalex publication_date 2025/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the Ulrich complexity of certain examples of Brauer--Severi varieties, twisted flags and involution varieties and establish lower and upper bounds. Furthermore, we relate Ulrich complexity to the categorical representability dimension of the respective varieties. We also state an idea why, in general, a relation between Ulrich complexity and categorical representability dimension may appear.

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