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Siu's semicontinuity theorem

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160: 253: 248: 203: 119: 201:(1974), "Analyticity of sets associated to Lelong numbers and the extension of closed positive currents", 74: 158:(1973), "Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps", 220: 179: 136: 98: 40:. More precisely, the points where the Lelong number is at least some constant form a complex 212: 169: 128: 88: 79: 33: 29: 17: 232: 191: 148: 110: 228: 187: 144: 106: 37: 242: 25: 174: 198: 155: 77:(1987), "Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité", 49: 117:
Harvey, F. Reese; King, James R. (1972), "On the structure of positive currents",
41: 224: 183: 140: 102: 64:
generalized Siu's theorem to more general versions of the Lelong number.
216: 132: 93: 161:Bulletin of the American Mathematical Society 8: 45: 173: 92: 61: 7: 57: 53: 14: 175:10.1090/S0002-9904-1973-13378-6 1: 254:Theorems in complex analysis 270: 44:. This was conjectured by 22:Siu semicontinuity theorem 204:Inventiones Mathematicae 120:Inventiones Mathematicae 46:Harvey & King (1972) 75:Demailly, Jean-Pierre 217:10.1007/BF01389965 133:10.1007/BF01418641 94:10.1007/BF02392558 249:Complex manifolds 24:implies that the 261: 235: 194: 177: 168:(6): 1200–1205, 151: 113: 96: 80:Acta Mathematica 34:complex manifold 30:positive current 18:complex analysis 269: 268: 264: 263: 262: 260: 259: 258: 239: 238: 211:(1–2): 53–156, 197: 154: 116: 73: 70: 62:Demailly (1987) 12: 11: 5: 267: 265: 257: 256: 251: 241: 240: 237: 236: 195: 152: 114: 87:(3): 153–169, 69: 66: 48:and proved by 38:semicontinuous 13: 10: 9: 6: 4: 3: 2: 266: 255: 252: 250: 247: 246: 244: 234: 230: 226: 222: 218: 214: 210: 206: 205: 200: 199:Siu, Yum-Tong 196: 193: 189: 185: 181: 176: 171: 167: 163: 162: 157: 156:Siu, Yum-Tong 153: 150: 146: 142: 138: 134: 130: 126: 122: 121: 115: 112: 108: 104: 100: 95: 90: 86: 82: 81: 76: 72: 71: 67: 65: 63: 59: 55: 51: 47: 43: 39: 35: 31: 27: 26:Lelong number 23: 19: 208: 202: 165: 159: 124: 118: 84: 78: 28:of a closed 21: 15: 243:Categories 68:References 42:subvariety 225:0020-9910 184:0002-9904 141:0020-9910 127:: 47–52, 103:0001-5962 233:0352516 192:0330505 149:0296348 111:0908144 52: ( 231:  223:  190:  182:  147:  139:  109:  101:  20:, the 32:on a 221:ISSN 180:ISSN 137:ISSN 99:ISSN 58:1974 54:1973 213:doi 170:doi 129:doi 89:doi 85:159 60:). 50:Siu 36:is 16:In 245:: 229:MR 227:, 219:, 209:27 207:, 188:MR 186:, 178:, 166:79 164:, 145:MR 143:, 135:, 125:15 123:, 107:MR 105:, 97:, 83:, 56:, 215:: 172:: 131:: 91::

Index

complex analysis
Lelong number
positive current
complex manifold
semicontinuous
subvariety
Harvey & King (1972)
Siu
1973
1974
Demailly (1987)
Demailly, Jean-Pierre
Acta Mathematica
doi
10.1007/BF02392558
ISSN
0001-5962
MR
0908144
Inventiones Mathematicae
doi
10.1007/BF01418641
ISSN
0020-9910
MR
0296348
Siu, Yum-Tong
Bulletin of the American Mathematical Society
doi
10.1090/S0002-9904-1973-13378-6

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