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Baily-Borel compactification

In mathematics, the Baily-Borel compactification is a compactification of a quotient of a Hermitian symmetric space by an arithmetic group, introduced by Walter L. Baily and Armand Borel (1964, 1966).

01Example

  • If C is the quotient of the upper half plane by a congruence subgroup of SL2(Z), then the Baily-Borel compactification of C is formed by adding a finite number of cusps to it.
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