258:
114:
299:
318:
239:
292:
323:
285:
213:
109:
203:
208:
25:
220:
Kawamata, Yujiro; Matsuda, Katsumi; Matsuki, Kenji (1987). "Introduction to the
Minimal Model Problem".
153:
186:
17:
235:
170:
123:
62:
269:
265:
227:
162:
66:
52:
33:
29:
182:
135:
178:
148:
131:
55:
41:
105:
37:
312:
190:
221:
257:
58:
174:
127:
231:
166:
151:(1982), "A generalization of Kodaira-Ramanujam's vanishing theorem",
273:
115:Journal für die reine und angewandte Mathematik
293:
8:
300:
286:
65:) on a complex projective manifold with
97:
72:, then the coherent cohomology groups
7:
254:
252:
204:"Kawamata-Viehweg vanishing theorem"
272:. You can help Knowledge (XXG) by
22:Kawamata–Viehweg vanishing theorem
14:
256:
223:Algebraic Geometry, Sendai, 1985
28:, on the vanishing of coherent
319:Theorems in algebraic geometry
1:
202:Sommese, Andrew J. (2001) ,
209:Encyclopedia of Mathematics
47:The theorem states that if
340:
251:
84:) vanish for all positive
36:, proved independently by
26:Kodaira vanishing theorem
24:is an extension of the
324:Abstract algebra stubs
268:-related article is a
232:10.2969/aspm/01010283
154:Mathematische Annalen
67:canonical line bundle
226:. pp. 283–360.
110:"Vanishing theorems"
167:10.1007/BF01456407
18:algebraic geometry
281:
280:
241:978-4-86497-068-6
63:ample line bundle
61:(for example, an
34:logarithmic pairs
30:cohomology groups
331:
302:
295:
288:
266:abstract algebra
260:
253:
245:
216:
194:
193:
149:Kawamata, Yujiro
145:
139:
138:
102:
339:
338:
334:
333:
332:
330:
329:
328:
309:
308:
307:
306:
249:
242:
219:
201:
198:
197:
147:
146:
142:
106:Viehweg, Eckart
104:
103:
99:
94:
12:
11:
5:
337:
335:
327:
326:
321:
311:
310:
305:
304:
297:
290:
282:
279:
278:
261:
247:
246:
240:
217:
196:
195:
140:
96:
95:
93:
90:
13:
10:
9:
6:
4:
3:
2:
336:
325:
322:
320:
317:
316:
314:
303:
298:
296:
291:
289:
284:
283:
277:
275:
271:
267:
262:
259:
255:
250:
243:
237:
233:
229:
225:
224:
218:
215:
211:
210:
205:
200:
199:
192:
188:
184:
180:
176:
172:
168:
164:
160:
156:
155:
150:
144:
141:
137:
133:
129:
125:
121:
117:
116:
111:
107:
101:
98:
91:
89:
87:
83:
79:
75:
71:
68:
64:
60:
57:
54:
50:
45:
43:
39:
35:
31:
27:
23:
19:
274:expanding it
263:
248:
222:
207:
161:(1): 43–46,
158:
152:
143:
119:
113:
100:
85:
81:
77:
73:
69:
48:
46:
21:
15:
59:line bundle
313:Categories
92:References
214:EMS Press
191:120101105
175:0025-5831
128:0075-4102
44:in 1982.
108:(1982),
42:Kawamata
183:0675204
136:0667459
122:: 1–8,
38:Viehweg
238:
189:
181:
173:
134:
126:
20:, the
264:This
187:S2CID
51:is a
32:, to
270:stub
236:ISBN
171:ISSN
124:ISSN
40:and
228:doi
163:doi
159:261
120:335
56:nef
53:big
16:In
315::
234:.
212:,
206:,
185:,
179:MR
177:,
169:,
157:,
132:MR
130:,
118:,
112:,
88:.
301:e
294:t
287:v
276:.
244:.
230::
165::
86:i
82:K
80:⊗
78:L
76:(
74:H
70:K
49:L
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.