15 June 2022 Construction of negatively curved complete intersections
Jean-Paul Mohsen
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Duke Math. J. 171(9): 1843-1878 (15 June 2022). DOI: 10.1215/00127094-2022-0009

Abstract

Using the Donaldson–Auroux theory, we construct complete intersections in complex projective manifolds, which are negatively curved in various ways. In particular, we prove the existence of compact simply connected Kähler manifolds with negative holomorphic bisectional curvature. We also construct hyperbolic hypersurfaces, and we obtain bounds for their Kobayashi hyperbolic metric.

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Jean-Paul Mohsen. "Construction of negatively curved complete intersections." Duke Math. J. 171 (9) 1843 - 1878, 15 June 2022. https://doi.org/10.1215/00127094-2022-0009

Information

Received: 9 September 2019; Revised: 31 May 2021; Published: 15 June 2022
First available in Project Euclid: 12 May 2022

MathSciNet: MR4484217
zbMATH: 1504.53083
Digital Object Identifier: 10.1215/00127094-2022-0009

Subjects:
Primary: 53C55
Secondary: 32Q05 , 32Q45

Keywords: complete intersections , curvature , projective manifolds

Rights: Copyright © 2022 Duke University Press

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Vol.171 • No. 9 • 15 June 2022
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