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The study aims to compute the integral Chow ring of modular compactifications of M1,n for n ≤ 6, focusing on Gorenstein curves.

Integral Chow rings of modular compactifications of ℳ 1,𝑛≤6

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The study aims to compute the integral Chow ring of modular compactifications of M1,n for n ≤ 6, focusing on Gorenstein curves.
Computed Chow ring using combinatorial descriptions and stratification methods.
Investigated Deligne–Mumford, Schubert, and Smyth compactifications.
Analyzed the relationship of Getzler’s relation for n=4.
All modular compactifications satisfy the Chow–Künneth generation property.
The cycle class map is shown to be an isomorphism.
For n=4, the study investigates the integral holding of Getzler’s relation.

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Computational study of Chow rings in modular compactifications of Gorenstein curves indicating important properties.

Battistella et al. (2026) studied this question.

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