2024/08/24 by Takehiko Yasuda
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Canonical form #Equivalence class (music) #Finite Group Theory Research #Gravitational singularity #Permutation (music) #Quotient #Representation (politics) #Section (typography) #Variety (cybernetics) #math.AG #math.RA #msc:13A50 #msc:14G05 #msc:14G07
paper · pdf · doi:10.46298/epiga.2025.14300
published as Épijournal de Géométrie Algébrique, Volume 9 (December 19, 2025) epiga:14300 · 17 pages. v2: minor revision. v3: added section 2.2, added more detailed explanations about stringy motives, P-moduli spaces and so on. v4: the final version appearing in EPIGA
arxiv created 2025/12/18 · openalex created_date 2025/12/19 · openalex publication_date 2025/12/19 · openalex updated_date 2026/05/21 · arxiv updated 2026/08/05
The quotient variety associated to a permutation representation of a finite group has only canonical singularities in arbitrary characteristic. Moreover, the log pair associated to such a representation is Kawamata log terminal except in characteristic two, and log canonical in arbitrary characteristic. 17 pages. v2: minor revision. v3: added section 2.2, added more detailed explanations about stringy motives, P-moduli spaces and so on. v4: the final version appearing in EPIGA