45:
216:
257:
36:. As of 2015, it has the largest known number of nodes of a degree-7 surface, though this number is still less than the best known upper bound of 104 nodes given by
29:
250:
281:
243:
170:(1983), "Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface",
276:
44:
148:
167:
223:
138:
106:
74:
183:
160:
122:
179:
156:
118:
64:
21:
152:
227:
270:
69:
59:
25:
215:
198:
109:(1983), "The maximum number of singular points on a projective hypersurface",
143:
42:
231:
129:
Labs, Oliver (2006), "A septic with 99 real nodes",
49:3D model of affine chart of the real Labs septic
251:
8:
258:
244:
142:
111:Funktsionalʹnyĭ Analiz i ego Prilozheniya
94:
37:
86:
93:The upper bound in degree 7 given by
7:
212:
210:
33:
14:
214:
131:Rend. Semin. Mat. Univ. Padova
1:
230:. You can help Knowledge by
298:
209:
172:Doklady Akademii Nauk SSSR
282:Algebraic geometry stubs
226:–related article is a
50:
48:
200:video of Labs septic
16:In mathematics, the
153:2004math......9348L
18:Labs septic surface
277:Algebraic surfaces
224:algebraic geometry
51:
239:
238:
75:Togliatti surface
289:
260:
253:
246:
218:
211:
203:
186:
178:(6): 1294–1297,
168:Varchenko, A. N.
163:
146:
125:
107:Giventalʹ, A. B.
98:
95:Giventalʹ (1983)
91:
47:
38:Varchenko (1983)
297:
296:
292:
291:
290:
288:
287:
286:
267:
266:
265:
264:
207:
196:
193:
166:
128:
105:
102:
101:
92:
88:
83:
65:Endrass surface
56:
43:
20:is a degree-7 (
12:
11:
5:
295:
293:
285:
284:
279:
269:
268:
263:
262:
255:
248:
240:
237:
236:
219:
205:
204:
192:
191:External links
189:
188:
187:
164:
126:
100:
99:
85:
84:
82:
79:
78:
77:
72:
67:
62:
55:
52:
13:
10:
9:
6:
4:
3:
2:
294:
283:
280:
278:
275:
274:
272:
261:
256:
254:
249:
247:
242:
241:
235:
233:
229:
225:
220:
217:
213:
208:
202:
201:
195:
194:
190:
185:
181:
177:
173:
169:
165:
162:
158:
154:
150:
145:
140:
136:
132:
127:
124:
120:
116:
112:
108:
104:
103:
96:
90:
87:
80:
76:
73:
71:
70:Sarti surface
68:
66:
63:
61:
60:Barth surface
58:
57:
53:
46:
41:
39:
35:
31:
27:
26:nodal surface
23:
19:
232:expanding it
221:
206:
199:
175:
171:
144:math/0409348
134:
130:
117:(3): 73–74,
114:
110:
89:
17:
15:
137:: 299–313,
34:Labs (2006)
271:Categories
81:References
197:Bothmer,
32:found by
54:See also
28:with 99
184:0712934
161:2287352
149:Bibcode
123:0714227
97:is 106.
182:
159:
121:
22:septic
222:This
139:arXiv
30:nodes
228:stub
176:270
135:116
273::
180:MR
174:,
157:MR
155:,
147:,
133:,
119:MR
115:17
113:,
40:.
24:)
259:e
252:t
245:v
234:.
151::
141::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
