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.
Baily, Walter L., Jr.; Borel, Armand (1964), "On the compactification of arithmetically defined quotients of bounded symmetric domains", Bulletin of the American Mathematical Society, 70 (4): 588–593, doi:10.1090/S0002-9904-1964-11207-6, MR 0168802{{citation}}: CS1 maint: multiple names: authors list (link)
Baily, W.L.; Borel, A. (1966), "Compactification of arithmetic quotients of bounded symmetric domains", Annals of Mathematics, 2, Annals of Mathematics, 84 (3): 442–528, doi:10.2307/1970457, JSTOR 1970457, MR 0216035
baily, borel, compactification, mathematics, compactification, quotient, hermitian, symmetric, space, arithmetic, group, introduced, walter, baily, armand, borel, 1964, 1966, example, editif, quotient, upper, half, plane, congruence, subgroup, then, formed, ad. 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 Example EditIf 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 EditL cohomologyReferences EditBaily Walter L Jr Borel Armand 1964 On the compactification of arithmetically defined quotients of bounded symmetric domains Bulletin of the American Mathematical Society 70 4 588 593 doi 10 1090 S0002 9904 1964 11207 6 MR 0168802 a href Template Citation html title Template Citation citation a CS1 maint multiple names authors list link Baily W L Borel A 1966 Compactification of arithmetic quotients of bounded symmetric domains Annals of Mathematics 2 Annals of Mathematics 84 3 442 528 doi 10 2307 1970457 JSTOR 1970457 MR 0216035 Gordon B Brent 2001 1994 Baily Borel compactification Encyclopedia of Mathematics EMS Press This geometry related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Baily Borel compactification amp oldid 1020361157, wikipedia, wiki, book, books, library,
