On Multiplication Maps of Ample Bundles with Nef Bundles on Toric Surfaces

Daiki KONDO; Shoetsu OGATA

doi:10.4036/iis.2008.183

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

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On Multiplication Maps of Ample Bundles with Nef Bundles on Toric Surfaces

Daiki KONDO, Shoetsu OGATA

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Keywords: toric variety

JOURNAL FREE ACCESS

2008 Volume 14 Issue 2 Pages 183-190

DOI https://doi.org/10.4036/iis.2008.183

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Abstract

We show that the multiplication map of global sections of an ample line bundle and a nef line bundle on a projective toric surface is surjective. We also prove that on a Gorenstein toric 3-fold whose anti-canonical bundle is nef, the multiplication of global sections of an ample line bundle by those of the anti-canonical bundle is surjective.

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