A Lefschetz-Riemann-Roch theorem for singular schemes

2025/12/14 by Runqiao Fu, Fu, Runqiao, Shun Tang +1
Computer Science · Mathematics · #14C35 #14C40 #19L47 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2512.12587

openalex publication_date 2025/12/14 · openalex created_date 2025/12/17 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a Lefschetz-Riemann-Roch theorem for singular projective schemes which admit diagonalisable group scheme actions, this result generalizes P. Baum, W. Fulton and G. Quart's Lefschetz-Riemann-Roch theorem for singular varieties (cf. \citeBFQ) to general scheme case.

Citations

• Le théorème de Riemann-Roch et ses applications

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