Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings
We construct complex projective schemes with Lyubeznik numbers of their cones depending on the choices of projective embeddings. This answers a question of G. Lyubeznik in the characteristic 0 case. It contrasts with a theorem of W. Zhang in the positive characteristic case where the Frobenius endom...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 January 2021
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| In: |
Selecta mathematica
Year: 2021, Volume: 27, Issue: 1 |
| ISSN: | 1420-9020 |
| DOI: | 10.1007/s00029-020-00612-3 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00029-020-00612-3 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007%2Fs00029-020-00612-3 
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| Author Notes: | Thomas Reichelt · Morihiko Saito · Uli Walther |
| Summary: | We construct complex projective schemes with Lyubeznik numbers of their cones depending on the choices of projective embeddings. This answers a question of G. Lyubeznik in the characteristic 0 case. It contrasts with a theorem of W. Zhang in the positive characteristic case where the Frobenius endomorphism is used. Reducibility of schemes is essential in our argument. B. Wang recently constructed examples of irreducible projective schemes (which are not normal) from our examples of reducible ones. So the question is still open in the normal singular case. |
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| Item Description: | Gesehen am 09.02.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1420-9020 |
| DOI: | 10.1007/s00029-020-00612-3 |