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Togliatti surface

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36: 264: 20: 174: 305: 298: 334: 291: 83:) proved that 31 is the maximum possible number of nodes for a surface of this degree, showing this example to be optimal. 324: 198: 107: 68: 126: 329: 64: 35: 271: 52: 231: 240: 185:(in French), Alphen aan den Rijn—Germantown, Md.: Sijthoff & Noordhoff, pp. 207–215, 120: 76: 215: 190: 211: 202: 186: 97: 179:
Journées de Géometrie Algébrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, 1979
275: 210:, Vierteljschr. Naturforsch. Ges. ZĂĽrich (in Italian), vol. 85, pp. 127–132, 243: 318: 177: 102: 92: 60: 263: 19: 248: 201:(1940), "Una notevole superficie di 5 ordine con soli punti doppi isolati", 123:(1980), "Sur le nombre maximum de points doubles d'une surface dans 33: 18: 279: 129: 168: 30:(real points, bounded by a sphere with radius=6). 299: 8: 169:{\displaystyle \mathbf {P} ^{3}(\mu (5)=31)} 306: 292: 136: 131: 128: 80: 72: 67:. The first examples were constructed by 7: 260: 258: 204:Beiblatt (Festschrift Rudolf Fueter) 40:3D model of same surface as above ( 14: 262: 132: 163: 154: 148: 142: 1: 278:. You can help Knowledge by 16:Object in algebraic geometry 351: 257: 108:List of algebraic surfaces 335:Algebraic geometry stubs 230:EndraĂź, Stephan (2003). 69:Eugenio G. Togliatti 63:of degree five with 31 274:–related article is a 170: 48: 47:) bounded by the cube 31: 199:Togliatti, Eugenio G. 171: 39: 22: 232:"Togliatti surfaces" 127: 77:Arnaud Beauville 244:"Togliatti surface" 325:Algebraic surfaces 272:algebraic geometry 241:Weisstein, Eric W. 166: 53:algebraic geometry 49: 32: 287: 286: 121:Beauville, Arnaud 57:Togliatti surface 23:The surface with 342: 330:Complex surfaces 308: 301: 294: 266: 259: 254: 253: 235: 218: 209: 193: 184: 175: 173: 172: 167: 141: 140: 135: 46: 38: 29: 350: 349: 345: 344: 343: 341: 340: 339: 315: 314: 313: 312: 239: 238: 229: 226: 207: 197: 182: 130: 125: 124: 119: 116: 98:Endrass surface 89: 41: 34: 24: 17: 12: 11: 5: 348: 346: 338: 337: 332: 327: 317: 316: 311: 310: 303: 296: 288: 285: 284: 267: 256: 255: 236: 225: 224:External links 222: 221: 220: 195: 165: 162: 159: 156: 153: 150: 147: 144: 139: 134: 115: 112: 111: 110: 105: 100: 95: 88: 85: 15: 13: 10: 9: 6: 4: 3: 2: 347: 336: 333: 331: 328: 326: 323: 322: 320: 309: 304: 302: 297: 295: 290: 289: 283: 281: 277: 273: 268: 265: 261: 251: 250: 245: 242: 237: 233: 228: 227: 223: 217: 213: 206: 205: 200: 196: 192: 188: 181: 180: 160: 157: 151: 145: 137: 122: 118: 117: 113: 109: 106: 104: 103:Sarti surface 101: 99: 96: 94: 93:Barth surface 91: 90: 86: 84: 82: 78: 74: 70: 66: 62: 61:nodal surface 58: 54: 44: 37: 27: 21: 280:expanding it 269: 247: 203: 178: 56: 50: 42: 25: 319:Categories 114:References 249:MathWorld 146:μ 87:See also 216:0004492 191:0605342 79: ( 71: ( 214:  189:  270:This 208:(PDF) 183:(PDF) 65:nodes 59:is a 276:stub 81:1980 73:1940 55:, a 176:", 75:). 51:In 45:= 1 28:= 1 321:: 246:. 212:MR 187:MR 161:31 307:e 300:t 293:v 282:. 252:. 234:. 219:. 194:. 164:) 158:= 155:) 152:5 149:( 143:( 138:3 133:P 43:w 26:w

Index



algebraic geometry
nodal surface
nodes
Eugenio G. Togliatti
1940
Arnaud Beauville
1980
Barth surface
Endrass surface
Sarti surface
List of algebraic surfaces
Beauville, Arnaud
Journées de Géometrie Algébrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, 1979
MR
0605342
Togliatti, Eugenio G.
Beiblatt (Festschrift Rudolf Fueter)
MR
0004492
"Togliatti surfaces"
Weisstein, Eric W.
"Togliatti surface"
MathWorld
Stub icon
algebraic geometry
stub
expanding it
v

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