Theorem 3.1 . [04YH]

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Theorem 3.1.

There are canonical homeomorphisms between the three compactifications

\overline{A_{g}}^{\rm T}\cong\overline{A_{g}}^{\rm Sat,\tau_{\rm ad}}\cong\overline{A_{g}}^{\rm MSBJ},

extending the identity on $A_{g}$ .