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Reider, Igor (1988), "Vector bundles of rank 2 and linear systems on algebraic surfaces",
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92:| has no base points unless there exists a nonzero effective divisor
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220:| is very ample unless there exists a nonzero effective divisor
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be an ample line bundle on a smooth projective surface
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611:(2), Annals of Mathematics: 309–316,
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670:. You can help Knowledge (XXG) by
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481:{\displaystyle DE=3,D=3E,E^{2}=1}
224:satisfying one of the following:
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208:> 8, then the linear system |
51:on a smooth projective surface
722:Theorems in algebraic geometry
28:on a projective surface to be
1:
270:{\displaystyle DE=0,E^{2}=-1}
142:{\displaystyle DE=0,E^{2}=-1}
416:{\displaystyle DE=2,E^{2}=0}
343:{\displaystyle DE=1,E^{2}=0}
192:{\displaystyle DE=1,E^{2}=0}
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579:> 3 the linear system |
543:for any effective divisor
727:Algebraic geometry stubs
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18:algebraic geometry
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607:, Second Series,
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78:linear system
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672:expanding it
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494:Applications
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55:. Denote by
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559:≥ m > 2.
26:line bundle
711:Categories
595:References
96:such that
30:very ample
625:0003-486X
522:we have
358:−
285:−
262:−
134:−
36:Statement
557:m(L · E)
551:implies
641:0932299
633:2007055
540:> 4;
49:divisor
639:
631:
623:
502:. Let
68:of X.
662:This
629:JSTOR
553:D · E
510:. If
44:be a
668:stub
621:ISSN
149:, or
64:the
40:Let
613:doi
609:127
589:+mL
573:+mL
350:or
277:or
204:If
72:If
46:nef
16:In
713::
637:MR
635:,
627:,
619:,
555:=
536:≥
529:=
520:mL
218:+D
90:+D
32:.
20:,
699:e
692:t
685:v
674:.
615::
585:X
581:K
577:m
569:X
565:K
549:L
545:E
538:m
534:L
531:m
527:D
518:=
516:D
512:m
508:X
504:L
476:1
473:=
468:2
464:E
460:,
457:E
454:3
451:=
448:D
445:,
442:3
439:=
436:E
433:D
423:;
411:0
408:=
403:2
399:E
395:,
392:2
389:=
386:E
383:D
373:;
361:1
338:0
335:=
330:2
326:E
322:,
319:1
316:=
313:E
310:D
300:;
288:2
265:1
259:=
254:2
250:E
246:,
243:0
240:=
237:E
234:D
222:E
214:X
210:K
206:D
199:;
187:0
184:=
179:2
175:E
171:,
168:1
165:=
162:E
159:D
137:1
131:=
126:2
122:E
118:,
115:0
112:=
109:E
106:D
94:E
86:X
82:K
80:|
74:D
61:X
57:K
53:X
42:D
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