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176:{\displaystyle \sum _{v(p)=0}{\frac {P(A_{p})}{\det A_{p}}}=\int _{M}P(i\Theta /2\pi )}
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is an invariant polynomial function of matrices of degree dim(
55:
is a holomorphic vector field on a compact complex manifold
229:Θ is a curvature matrix of the holomorphic tangent bundle
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262:"Vector fields and characteristic numbers"
277:
245:Holomorphic Lefschetz fixed-point formula
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313:, Wiley Classics Library, New York:
213:on the holomorphic tangent space at
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266:The Michigan Mathematical Journal
190:The sum is over the fixed points
311:Principles of algebraic geometry
240:Atiyah–Bott fixed-point theorem
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28:), describes a sum over the
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200:The linear transformation
209:is the action induced by
279:10.1307/mmj/1028999721
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315:John Wiley & Sons
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194:of the vector field
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18:Bott residue formula
16:In mathematics, the
303:Griffiths, Phillip
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349:Complex manifolds
324:978-0-471-05059-9
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41:complex manifold
20:, introduced by
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37:vector field
30:fixed points
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272:: 231–244,
258:Bott, Raoul
34:holomorphic
251:References
288:0026-2285
168:π
157:Θ
139:∫
71:∑
47:Statement
343:Category
309:(1994),
260:(1967),
234:See also
333:1288523
296:0211416
59:, then
24: (
331:
321:
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186:where
32:of a
319:ISBN
284:ISSN
26:1967
22:Bott
274:doi
119:det
51:If
345::
329:MR
327:,
317:,
305:;
292:MR
290:,
282:,
270:14
268:,
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43:.
276::
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224:M
220:P
215:p
211:v
206:p
202:A
196:v
192:p
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165:2
161:/
154:i
151:(
148:P
143:M
135:=
127:p
123:A
114:)
109:p
105:A
101:(
98:P
90:0
87:=
84:)
81:p
78:(
75:v
57:M
53:v
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