Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
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Description
We describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Borel-Moore homology. We also give an explicit correspondence between the de Rham cohomology and the Borel-Moore homology.
Journal
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- Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society 140 (6), 2065-2074, 2012-06-01
American Mathematical Society
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Details 詳細情報について
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- CRID
- 1050845760659378816
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- NII Article ID
- 120003988209
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- NII Book ID
- AA1245450X
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- ISSN
- 00029939
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- HANDLE
- 2433/154579
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles
- KAKEN