Curves in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded

Atsushi Ito; Yusaku Tiba

doi:10.5802/aif.2982

Curves in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded

Atsushi Ito, Yusaku Tiba

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We construct smooth irreducible curves of the lowest possible degrees in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded into those surfaces. Moreover we characterize line bundles on quadric and cubic surfaces such that the complete linear systems of the line bundles have a smooth irreducible curve whose complement is Kobayashi hyperbolically imbedded into those surfaces.

Original language	English
Pages (from-to)	2057-2068
Number of pages	12
Journal	Annales de l'Institut Fourier
Volume	65
Issue number	5
DOIs	https://doi.org/10.5802/aif.2982
Publication status	Published - 2015
Externally published	Yes

Keywords

Holomorphic map
Kobayashi hyperbolic imbedding

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Access to Document

10.5802/aif.2982

Cite this

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title = "Curves in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded",

abstract = "We construct smooth irreducible curves of the lowest possible degrees in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded into those surfaces. Moreover we characterize line bundles on quadric and cubic surfaces such that the complete linear systems of the line bundles have a smooth irreducible curve whose complement is Kobayashi hyperbolically imbedded into those surfaces.",

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author = "Atsushi Ito and Yusaku Tiba",

year = "2015",

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AU - Ito, Atsushi

AU - Tiba, Yusaku

PY - 2015

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N2 - We construct smooth irreducible curves of the lowest possible degrees in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded into those surfaces. Moreover we characterize line bundles on quadric and cubic surfaces such that the complete linear systems of the line bundles have a smooth irreducible curve whose complement is Kobayashi hyperbolically imbedded into those surfaces.

AB - We construct smooth irreducible curves of the lowest possible degrees in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded into those surfaces. Moreover we characterize line bundles on quadric and cubic surfaces such that the complete linear systems of the line bundles have a smooth irreducible curve whose complement is Kobayashi hyperbolically imbedded into those surfaces.

KW - Holomorphic map

KW - Kobayashi hyperbolic imbedding

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Curves in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded

Abstract

Keywords

ASJC Scopus subject areas

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