The first higher Chow groups of M1,n for n≤ 4

Q: What type of study is this?

This is a Quantitative Study study.

William I. Newman

doi:10.48550/arxiv.2508.20264

August 27, 2025Open Access

The first higher Chow groups of M1,n for n≤ 4

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Key Points

The computed indecomposable higher Chow groups lead to reformulations of integral Chow rings.
For $n \leq 4$, new formulas for classes of boundary strata are established in these rings.
The findings contribute to a deeper understanding of the topology of moduli spaces in mathematics.
The results support existing presentations of Chow rings with fresh insights into their structure.

Implication

This analysis computes higher Chow groups in moduli spaces, revealing important structures in boundary strata.

Abstract

For n≤ 4, we compute the indecomposible higher Chow groups CH̄(M1,n,1) with integer coefficients. As an application, we give new proofs of presentations of the integral Chow rings CH(M̄1,n) for n≤ 4 and determine formulas for the classes of boundary strata in these rings.

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Cite This Study

William I. Newman (2025) studied this question.

synapsesocial.com/papers/68d6d82e8b2b6861e4c3e318 https://doi.org/10.48550/arxiv.2508.20264

View Full Paper

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The first higher Chow groups of M1,n for n≤ 4

Key Points

Implication

Abstract

Discussion

Cite This Study

The first higher Chow groups of M1,n for n≤ 4

Key Points

Implication

Abstract

Discussion

Cite This Study

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