Knowledge (XXG)

Prime form

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281: 322: 315: 255: 218: 183: 346: 308: 149: 210: 341: 288: 92: 31: 91:, but is a section of a holomorphic line bundle over this space. Prime forms were introduced by 251: 214: 179: 292: 243: 171: 280: 265: 228: 193: 261: 224: 189: 167: 53: 335: 235: 50: 24: 204: 200: 96: 17: 247: 242:, Progress in Mathematics, vol. 43, Boston, MA: Birkhäuser Boston, 175: 166:, Lecture Notes in Mathematics, vol. 352, Berlin, New York: 102:
Prime forms can be used to construct meromorphic functions on
140:) is a meromorphic function with given poles and zeros. 296: 316: 123:is a divisor linearly equivalent to 0, then Π 8: 323: 309: 162:Fay, John D. (1973), "The prime- form", 83:is not quite a holomorphic function on 7: 277: 275: 164:Theta functions on Riemann surfaces 295:. You can help Knowledge (XXG) by 209:, Cambridge Mathematical Library, 14: 279: 106:with given poles and zeros. If Σ 71:, and vanishes if and only if 16:For prime forms in music, see 1: 18:Set (music) § Non-serial 363: 274: 240:Tata lectures on theta. II 211:Cambridge University Press 22: 15: 347:Riemannian geometry stubs 248:10.1007/978-0-8176-4578-6 150:Fay's trisecant identity 59:depends on two elements 23:Not to be confused with 291:-related article is a 201:Baker, Henry Frederick 34:, the Schottky–Klein 289:Riemannian geometry 176:10.1007/BFb0060090 93:Friedrich Schottky 79:. The prime form 32:algebraic geometry 304: 303: 257:978-0-8176-3110-9 220:978-0-521-49877-7 206:Abelian functions 185:978-3-540-06517-3 354: 342:Riemann surfaces 325: 318: 311: 283: 276: 268: 231: 196: 362: 361: 357: 356: 355: 353: 352: 351: 332: 331: 330: 329: 272: 258: 234: 221: 199: 186: 168:Springer-Verlag 161: 158: 146: 139: 122: 114: 54:Riemann surface 28: 21: 12: 11: 5: 360: 358: 350: 349: 344: 334: 333: 328: 327: 320: 313: 305: 302: 301: 284: 270: 269: 256: 236:Mumford, David 232: 219: 197: 184: 157: 154: 153: 152: 145: 142: 135: 118: 110: 13: 10: 9: 6: 4: 3: 2: 359: 348: 345: 343: 340: 339: 337: 326: 321: 319: 314: 312: 307: 306: 300: 298: 294: 290: 285: 282: 278: 273: 267: 263: 259: 253: 249: 245: 241: 237: 233: 230: 226: 222: 216: 212: 208: 207: 202: 198: 195: 191: 187: 181: 177: 173: 169: 165: 160: 159: 155: 151: 148: 147: 143: 141: 138: 134: 130: 126: 121: 117: 113: 109: 105: 100: 98: 94: 90: 87: ×  86: 82: 78: 75: =  74: 70: 66: 62: 58: 55: 52: 48: 44: 40: 37: 33: 26: 25:Schottky form 19: 297:expanding it 286: 271: 239: 205: 163: 136: 132: 128: 124: 119: 115: 111: 107: 103: 101: 88: 84: 80: 76: 72: 68: 64: 60: 56: 46: 42: 38: 35: 29: 97:Felix Klein 336:Categories 156:References 36:prime form 203:(1995) , 238:(1984), 144:See also 266:0742776 229:1386644 194:0335789 51:compact 49:) of a 264:  254:  227:  217:  192:  182:  287:This 293:stub 252:ISBN 215:ISBN 180:ISBN 95:and 63:and 244:doi 172:doi 67:of 30:In 338:: 262:MR 260:, 250:, 225:MR 223:, 213:, 190:MR 188:, 178:, 170:, 99:. 324:e 317:t 310:v 299:. 246:: 174:: 137:i 133:a 131:, 129:x 127:( 125:E 120:i 116:a 112:i 108:n 104:X 89:X 85:X 81:E 77:y 73:x 69:X 65:y 61:x 57:X 47:y 45:, 43:x 41:( 39:E 27:. 20:.

Index

Set (music) § Non-serial
Schottky form
algebraic geometry
compact
Riemann surface
Friedrich Schottky
Felix Klein
Fay's trisecant identity
Springer-Verlag
doi
10.1007/BFb0060090
ISBN
978-3-540-06517-3
MR
0335789
Baker, Henry Frederick
Abelian functions
Cambridge University Press
ISBN
978-0-521-49877-7
MR
1386644
Mumford, David
doi
10.1007/978-0-8176-4578-6
ISBN
978-0-8176-3110-9
MR
0742776
Stub icon

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