New slope inequalities for families of complete intersections
| Autor: | Barja, Miguel Angel, Stoppino, Lidia |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove $f$-positivity of $\mathcal{O}_X(1)$ for arbitrary dimension fibrations over curves $f\colon X\to B$ whose general fibre is a complete intersection. In the special case where the family is a global complete intersection, we prove numerical sufficient and necessary conditions for $f$-positivity of powers of $\mathcal{O}_X(1)$ and for the relative canonical sheaf. From these results we also derive a Chow instability condition for the fibres of relative complete intersections in the projective bundle of a $\mu-$unstable bundle. Comment: 26 pages. The article has been completely revised. To appear in Revista Matem\'atica Iberoamericana. arXiv admin note: text overlap with arXiv:1410.3009 |
| Databáze: | arXiv |
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