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Torsion sheaf

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if every section over any object is killed by a power of 
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A torsion sheaf on an étale site is the union of its
116: 66: 34: 126: 91: 44: 222:. Nankai Tracts in Mathematics. Vol. 14. 286: 8: 293: 279: 118: 117: 115: 92:{\displaystyle \Gamma (U,{\mathcal {F}})} 80: 79: 65: 36: 35: 33: 173: 180: 7: 247: 245: 67: 14: 249: 202:"Lectures on Étale Cohomology" 127:{\displaystyle {\mathcal {F}}} 86: 70: 45:{\displaystyle {\mathcal {F}}} 1: 265:. You can help Knowledge by 56:for which, for every object 333: 244: 150:constructible subsheaves 60:, the space of sections 220:Etale Cohomology Theory 128: 93: 46: 129: 101:torsion abelian group 94: 47: 114: 64: 32: 103:. Similarly, for a 124: 89: 42: 28:of abelian groups 274: 273: 237:978-981-4675-08-6 110:, we say a sheaf 324: 295: 288: 281: 259:topology-related 253: 246: 241: 218:Fu, Lei (2015). 213:Étale Cohomology 208: 206: 184: 178: 133: 131: 130: 125: 123: 122: 98: 96: 95: 90: 85: 84: 51: 49: 48: 43: 41: 40: 332: 331: 327: 326: 325: 323: 322: 321: 302: 301: 300: 299: 238: 217: 204: 198:Milne, James S. 196: 193: 188: 187: 179: 175: 170: 158: 112: 111: 62: 61: 30: 29: 12: 11: 5: 330: 328: 320: 319: 317:Topology stubs 314: 304: 303: 298: 297: 290: 283: 275: 272: 271: 254: 243: 242: 236: 215: 209: 192: 189: 186: 185: 172: 171: 169: 166: 165: 164: 157: 154: 121: 88: 83: 78: 75: 72: 69: 39: 13: 10: 9: 6: 4: 3: 2: 329: 318: 315: 313: 310: 309: 307: 296: 291: 289: 284: 282: 277: 276: 270: 268: 264: 261:article is a 260: 255: 252: 248: 239: 233: 229: 225: 221: 216: 214: 211:J. S. Milne, 210: 203: 199: 195: 194: 190: 183:, Remark 17.6 182: 177: 174: 167: 163: 162:Twisted sheaf 160: 159: 155: 153: 151: 146: 144: 140: 138: 109: 106: 102: 76: 73: 59: 55: 27: 23: 22:torsion sheaf 19: 312:Sheaf theory 267:expanding it 256: 228:10.1142/9569 219: 212: 176: 147: 142: 136: 135: 107: 105:prime number 57: 21: 15: 18:mathematics 306:Categories 191:References 181:Milne 2012 68:Γ 200:(2012). 156:See also 139:-torsion 234:  257:This 205:(PDF) 168:Notes 99:is a 52:on a 26:sheaf 24:is a 263:stub 232:ISBN 54:site 20:, a 224:doi 134:is 16:In 308:: 230:. 152:. 145:. 294:e 287:t 280:v 269:. 240:. 226:: 207:. 143:p 137:p 120:F 108:p 87:) 82:F 77:, 74:U 71:( 58:U 38:F

Index

mathematics
sheaf
site
torsion abelian group
prime number
constructible subsheaves
Twisted sheaf
Milne 2012
Milne, James S.
"Lectures on Étale Cohomology"
doi
10.1142/9569
ISBN
978-981-4675-08-6
Stub icon
topology-related
stub
expanding it
v
t
e
Categories
Sheaf theory
Topology stubs

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