A Griffiths' theorem for varieties with isolated singularities (Q2910048)
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scientific article; zbMATH DE number 6078977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Griffiths' theorem for varieties with isolated singularities |
scientific article; zbMATH DE number 6078977 |
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7 September 2012
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algebraic cycles
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Abel-Jacobi maps
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isolated singularities
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math.AG
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0.9030063
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0.9027513
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0.9004109
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0.89657235
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0.89609647
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0.89530325
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0.89429283
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A Griffiths' theorem for varieties with isolated singularities (English)
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The main statement of this article is a generalization of a theorem of Griffiths which asserts that on certain smooth even dimensional projective varieties homological and algebraic equivalence do not coincide for higher codimension cycles. Here the varieties are allowed to have at most isolated singularities. The proof is obtained via the analysis of a particular pencil of hypersurfaces and comparison of Abel-Jacobi maps.
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