The first higher Chow groups of M_1,n for n≤ 4

2025/08/27 by Newman, William C.
Computer Science · Engineering · Mathematics · #Algebraic Geometry (math.AG) #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2508.20264

openalex publication_date 2025/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For n≤ 4, we compute the indecomposible higher Chow groups CH(M_1,n,1) with integer coefficients. As an application, we give new proofs of presentations of the integral Chow rings CH(M_1,n) for n≤ 4 and determine formulas for the classes of boundary strata in these rings.

Related

• Wall-crossing integral Chow rings of \mathcal M_1,n
• The integral Chow ring of M_1,3
• Generalized boundary strata classes
• On two higher Chow groups of schemes over a finite field
• A Note on Linear Higher Chow Groups