161:
66:
25:
310: > 0. Choose rational normal curves in these two linear subspaces, and choose an isomorphism φ between them. Then the rational normal surface consists of all lines joining the points
190:
76:
38:
376:
263: + 1. Here "rational" means birational to projective space, "scroll" is an old term for ruled surface, and "normal" refers to
134:
230:
212:
52:
106:
113:
91:
120:
173:
402:
44:
183:
177:
169:
360:
102:
194:
368:
264:
127:
372:
356:
283:
256:
386:
382:
83:
396:
268:
248:
330:
is 0, the rational normal scroll becomes a cone over a rational normal curve. If
65:
342:
is uniquely determined by the rational normal scroll and is called the
302: + 1 choose two complementary linear subspaces of dimensions
154:
59:
18:
87:
182:but its sources remain unclear because it lacks
274:A non-degenerate irreducible surface of degree
8:
92:introducing citations to additional sources
53:Learn how and when to remove these messages
282:is either a rational normal scroll or the
338:then the rational normal curve of degree
231:Learn how and when to remove this message
213:Learn how and when to remove this message
82:Relevant discussion may be found on the
322:). In the degenerate case when one of
7:
367:, Wiley Classics Library, New York:
14:
294:In projective space of dimension
34:This article has multiple issues.
365:Principles of algebraic geometry
159:
75:relies largely or entirely on a
64:
23:
42:or discuss these issues on the
1:
419:
168:This article includes a
103:"Rational normal scroll"
197:more precise citations.
306: > 0 and
245:rational normal scroll
369:John Wiley & Sons
265:projective normality
88:improve this article
403:Algebraic geometry
357:Griffiths, Phillip
278: – 1 in
243:In mathematics, a
170:list of references
16:Algebraic geometry
378:978-0-471-05059-9
241:
240:
233:
223:
222:
215:
153:
152:
138:
57:
410:
389:
334: <
284:Veronese surface
257:projective space
236:
229:
218:
211:
207:
204:
198:
193:this article by
184:inline citations
163:
162:
155:
148:
145:
139:
137:
96:
68:
60:
49:
27:
26:
19:
418:
417:
413:
412:
411:
409:
408:
407:
393:
392:
379:
355:
352:
346:of the scroll.
292:
237:
226:
225:
224:
219:
208:
202:
199:
188:
174:related reading
164:
160:
149:
143:
140:
97:
95:
81:
69:
28:
24:
17:
12:
11:
5:
416:
414:
406:
405:
395:
394:
391:
390:
377:
361:Harris, Joseph
351:
348:
291:
288:
269:normal schemes
239:
238:
221:
220:
178:external links
167:
165:
158:
151:
150:
86:. Please help
72:
70:
63:
58:
32:
31:
29:
22:
15:
13:
10:
9:
6:
4:
3:
2:
415:
404:
401:
400:
398:
388:
384:
380:
374:
370:
366:
362:
358:
354:
353:
349:
347:
345:
341:
337:
333:
329:
325:
321:
317:
313:
309:
305:
301:
298: +
297:
289:
287:
285:
281:
277:
272:
270:
266:
262:
259:of dimension
258:
254:
250:
249:ruled surface
246:
235:
232:
217:
214:
206:
203:November 2021
196:
192:
186:
185:
179:
175:
171:
166:
157:
156:
147:
144:November 2021
136:
133:
129:
126:
122:
119:
115:
112:
108:
105: –
104:
100:
99:Find sources:
93:
89:
85:
79:
78:
77:single source
73:This article
71:
67:
62:
61:
56:
54:
47:
46:
41:
40:
35:
30:
21:
20:
364:
343:
339:
335:
331:
327:
323:
319:
315:
311:
307:
303:
299:
295:
293:
290:Construction
279:
275:
273:
260:
252:
244:
242:
227:
209:
200:
189:Please help
181:
141:
131:
124:
117:
110:
98:
74:
50:
43:
37:
36:Please help
33:
195:introducing
350:References
251:of degree
114:newspapers
39:improve it
344:directrix
84:talk page
45:talk page
397:Category
363:(1994),
387:1288523
191:improve
128:scholar
385:
375:
130:
123:
116:
109:
101:
267:(not
247:is a
176:, or
135:JSTOR
121:books
373:ISBN
314:and
271:).
107:news
326:or
255:in
90:by
399::
383:MR
381:,
371:,
359:;
286:.
180:,
172:,
48:.
340:m
336:n
332:m
328:n
324:m
320:x
318:(
316:φ
312:x
308:n
304:m
300:n
296:m
280:P
276:m
261:n
253:n
234:)
228:(
216:)
210:(
205:)
201:(
187:.
146:)
142:(
132:·
125:·
118:·
111:·
94:.
80:.
55:)
51:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.