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This is a Quantitative Study study.

October 20, 2025Open Access

The MMP singularities of GIT versus Baily-Borel compactifications for the ball quotient case

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The transformation alters singularities from non-log canonical to log canonical, enhancing mathematical understanding.
Using examples like quartic curves and cubic threefolds, the differences between compactifications are demonstrated.
Observational analysis highlights how moduli spaces differ under geometric invariant theory and Baily-Borel theory.
The findings underscore the significance of birational transformations in moduli spaces and their implications.

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This paper reveals differences in compactifications for moduli space, showing GIT leads to log canonical singularities.

Dali Shen (2025) studied this question.

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