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Igusa variety

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181: 222: 120: 251: 215: 241: 112: 246: 208: 156: 116: 92: 146: 168: 130: 164: 126: 95:, the ℓ-adic cohomology of Igusa varieties sheds some light on that of Shimura varieties. 192: 76: 32: 235: 188: 88: 180: 28: 137:
Igusa, Jun-ichi (1968), "On the algebraic theory of elliptic modular functions",
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is a higher-dimensional analogue of an Igusa curve. Igusa curves were studied by
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with the motivation that they have application to studying the
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The geometry and cohomology of some simple Shimura varieties
196: 111:, Annals of Mathematics Studies, vol. 151, 216: 8: 139:Journal of the Mathematical Society of Japan 84: 223: 209: 150: 105:Harris, Michael; Taylor, Richard (2001), 83:) and Igusa varieties were introduced by 80: 7: 177: 175: 14: 179: 1: 195:. You can help Knowledge by 51:is roughly a point of order 268: 174: 113:Princeton University Press 85:Harris & Taylor (2001) 43:Igusa structure, where an 59:generating the kernel of 191:-related article is a 27:is (roughly) a coarse 16:Mathematical structure 152:10.2969/jmsj/02010096 47:on an elliptic curve 252:Number theory stubs 242:Algebraic geometry 35:in characteristic 204: 203: 122:978-0-691-09090-0 93:Shimura varieties 259: 225: 218: 211: 183: 176: 171: 154: 133: 267: 266: 262: 261: 260: 258: 257: 256: 247:Elliptic curves 232: 231: 230: 229: 136: 123: 104: 101: 45:Igusa structure 33:elliptic curves 17: 12: 11: 5: 265: 263: 255: 254: 249: 244: 234: 233: 228: 227: 220: 213: 205: 202: 201: 184: 173: 172: 134: 121: 100: 97: 15: 13: 10: 9: 6: 4: 3: 2: 264: 253: 250: 248: 245: 243: 240: 239: 237: 226: 221: 219: 214: 212: 207: 206: 200: 198: 194: 190: 189:number theory 185: 182: 178: 170: 166: 162: 158: 153: 148: 144: 140: 135: 132: 128: 124: 118: 114: 110: 109: 103: 102: 98: 96: 94: 90: 89:bad reduction 86: 82: 78: 74: 73:Igusa variety 70: 67: →  66: 62: 58: 54: 50: 46: 42: 39:with a level 38: 34: 30: 26: 22: 197:expanding it 186: 142: 138: 107: 91:of some PEL 72: 68: 64: 60: 56: 52: 48: 44: 40: 36: 29:moduli space 24: 18: 25:Igusa curve 21:mathematics 236:Categories 145:: 96–106, 99:References 161:0025-5645 169:0240103 131:1876802 79: ( 167:  159:  129:  119:  71:. An 187:This 77:Igusa 23:, an 193:stub 157:ISSN 117:ISBN 81:1968 147:doi 55:of 31:of 19:In 238:: 165:MR 163:, 155:, 143:20 141:, 127:MR 125:, 115:, 224:e 217:t 210:v 199:. 149:: 69:E 65:E 63:: 61:V 57:E 53:p 49:E 41:p 37:p

Index

mathematics
moduli space
elliptic curves
Igusa
1968
Harris & Taylor (2001)
bad reduction
Shimura varieties
The geometry and cohomology of some simple Shimura varieties
Princeton University Press
ISBN
978-0-691-09090-0
MR
1876802
doi
10.2969/jmsj/02010096
ISSN
0025-5645
MR
0240103
Stub icon
number theory
stub
expanding it
v
t
e
Categories
Algebraic geometry
Elliptic curves

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