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 Walter L.BailyandArmand 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.
See also
- Baily, Walter L. Jr.; Borel, Armand (1964), , Bulletin of the American Mathematical Society, 70 (4): 588–593, doi:, MR
- Baily, W.L.; Borel, A. (1966), "Compactification of arithmetic quotients of bounded symmetric domains", Annals of Mathematics, 2, 84 (3), Annals of Mathematics: 442–528, doi:, JSTOR, MR
- Gordon, B. Brent (2001) [1994], , Encyclopedia of Mathematics, EMS Press