Open Access
July 2018 Classification of bi-polarized 3-folds $(X, L_{1}, L_{2})$ with $h^{0}(K_{X}+L_{1}+L_{2})=1$
Yoshiaki Fukuma
Hiroshima Math. J. 48(2): 159-170 (July 2018). DOI: 10.32917/hmj/1533088829

Abstract

Let $X$ be a complex smooth projective variety of dimension 3, and let $L_1$ and $L_2$ be ample line bundles on $X$. In this paper we classify $(X, L_{1}, L_{2})$ with $h^{0}(K_{X}+L_{1}+L_{2})=1$.

Citation

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Yoshiaki Fukuma. "Classification of bi-polarized 3-folds $(X, L_{1}, L_{2})$ with $h^{0}(K_{X}+L_{1}+L_{2})=1$." Hiroshima Math. J. 48 (2) 159 - 170, July 2018. https://doi.org/10.32917/hmj/1533088829

Information

Received: 26 January 2017; Revised: 9 February 2018; Published: July 2018
First available in Project Euclid: 1 August 2018

zbMATH: 06965539
MathSciNet: MR3835555
Digital Object Identifier: 10.32917/hmj/1533088829

Subjects:
Primary: 14C20
Secondary: 14J30

Keywords: Adjoint bundle , polarized manifold , sectional geometric genus

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

Vol.48 • No. 2 • July 2018
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