Effective bounds on ampleness of cotangent bundles

Effective bounds on ampleness of cotangent bundles

We prove that a general complete intersection of dimension n, codimension c and type d1,⋯,dc in PN has ample cotangent bundle if c⩾2n−2 and the degrees di are all greater than a bound that is O(1) in N and quadratic in n. This degree bound substantially improves the currently best‐known super‐expone...

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2020-02, Vol.52 (1), p.237-243
Hauptverfasser: Coskun, Izzet, Riedl, Eric
Format: Artikel
Sprache:eng
Schlagworte:
14F10
14M10 (primary)
32C38 (secondary)
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Zusammenfassung:We prove that a general complete intersection of dimension n, codimension c and type d1,⋯,dc in PN has ample cotangent bundle if c⩾2n−2 and the degrees di are all greater than a bound that is O(1) in N and quadratic in n. This degree bound substantially improves the currently best‐known super‐exponential bound in N by Deng, although our result does not address the case n⩽c
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.12322