The fundamental group is not a derived invariant (Q2869245)
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scientific article; zbMATH DE number 6242530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fundamental group is not a derived invariant |
scientific article; zbMATH DE number 6242530 |
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3 January 2014
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derived equivalent varieties
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fundamental groups
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math.AG
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The fundamental group is not a derived invariant (English)
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The author shows that derived equivalent smooth, complex, projective varieties may have distinct fundamental groups. More precisely he exhibits a simply-connected Calabi-Yau threefold \(X\), with a free action by a finite group \(G\) such that \(X/G\) is derived equivalent to \(X\). Similar results were obtained by A. Bak.NEWLINENEWLINEFor the entire collection see [Zbl 1256.14001].
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