Baily–Borel compactification
- Baily–Borel compactification
In mathematics, the Baily–Borel compactification is a compactification of a quotient of a Hermitean symmetric space by an arithmetic group, introduced by harvs|txt=yes|first=W.L.|last= Baily|first2= A.|last2= Borel|year1=1964|year2=1966|author2-link=Armand Borel.
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.
ee also
*L2 cohomology
References
*citation|first=W.L.|last= Baily|first2= A.|last2= Borel|title=On the compactification of arithmetically defined quotients of bounded symmetric domains|journal= Bull. Amer. Math. Soc. |volume= 70 |year=1964|pages= 588–593
url=http://www.ams.org/bull/1964-70-04/S0002-9904-1964-11207-6/
*citation|first=W.L.|last= Baily|first2= A.|last2= Borel|title=Compactification of arithmetic quotients of bounded symmetric domains|journal= Ann. of Math. (2) |volume=84 |year=1966|pages= 442–528
url=http://links.jstor.org/sici?sici=0003-486X%28196611%292%3A84%3A3%3C442%3ACOAQOB%3E2.0.CO%3B2-H
*springer|id=B/b130010|first=B. Brent|last= Gordon
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