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Baily–Borel compactification

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

Example

  • 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.
  • References

    Baily–Borel compactification Wikipedia