Knowledge (XXG)

Baily–Borel compactification

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Baily, W.L.; Borel, A. (1966), "Compactification of arithmetic quotients of bounded symmetric domains",
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is formed by adding a finite number of cusps to it.
240: 111:Bulletin of the American Mathematical Society 61:is the quotient of the upper half plane by a 8: 73:), then the Baily–Borel compactification of 247: 233: 45: 41: 123: 150:(3), Annals of Mathematics: 442–528, 7: 201: 199: 219:. You can help Knowledge (XXG) by 14: 203: 125:10.1090/S0002-9904-1964-11207-6 271:Compactification (mathematics) 180:"Baily–Borel compactification" 1: 18:Baily–Borel compactification 185:Encyclopedia of Mathematics 292: 198: 178:Gordon, B. Brent (2001) , 26:Hermitian symmetric space 100:Baily, Walter L. Jr.; 143:Annals of Mathematics 16:In mathematics, the 63:congruence subgroup 34:Walter L. Baily 24:of a quotient of a 266:Algebraic geometry 228: 227: 32:, introduced by 283: 249: 242: 235: 213:geometry-related 207: 200: 192: 174: 136: 127: 30:arithmetic group 22:compactification 291: 290: 286: 285: 284: 282: 281: 280: 256: 255: 254: 253: 196: 177: 156:10.2307/1970457 139: 99: 96: 84: 68: 54: 12: 11: 5: 289: 287: 279: 278: 276:Geometry stubs 273: 268: 258: 257: 252: 251: 244: 237: 229: 226: 225: 208: 194: 193: 175: 137: 118:(4): 588–593, 95: 92: 91: 90: 83: 80: 79: 78: 66: 53: 50: 13: 10: 9: 6: 4: 3: 2: 288: 277: 274: 272: 269: 267: 264: 263: 261: 250: 245: 243: 238: 236: 231: 230: 224: 222: 218: 215:article is a 214: 209: 206: 202: 197: 191: 187: 186: 181: 176: 173: 169: 165: 161: 157: 153: 149: 145: 144: 138: 135: 131: 126: 121: 117: 113: 112: 107: 103: 102:Borel, Armand 98: 97: 93: 89: 88:L² cohomology 86: 85: 81: 76: 72: 64: 60: 56: 55: 51: 49: 47: 43: 39: 36: and 35: 31: 27: 23: 19: 221:expanding it 210: 195: 183: 147: 141: 115: 109: 74: 70: 58: 38:Armand Borel 17: 15: 260:Categories 94:References 190:EMS Press 104:(1964), 82:See also 172:0216035 164:1970457 134:0168802 52:Example 40: ( 170:  162:  132:  28:by an 211:This 160:JSTOR 146:, 2, 65:of SL 20:is a 217:stub 46:1966 42:1964 152:doi 120:doi 57:If 48:). 262:: 188:, 182:, 168:MR 166:, 158:, 148:84 130:MR 128:, 116:70 114:, 108:, 44:, 248:e 241:t 234:v 223:. 154:: 122:: 75:C 71:Z 69:( 67:2 59:C

Index

compactification
Hermitian symmetric space
arithmetic group
Walter L. Baily
Armand Borel
1964
1966
congruence subgroup
L² cohomology
Borel, Armand
"On the compactification of arithmetically defined quotients of bounded symmetric domains"
Bulletin of the American Mathematical Society
doi
10.1090/S0002-9904-1964-11207-6
MR
0168802
Annals of Mathematics
doi
10.2307/1970457
JSTOR
1970457
MR
0216035
"Baily–Borel compactification"
Encyclopedia of Mathematics
EMS Press
Stub icon
geometry-related
stub
expanding it

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