Open Access
September 2015 A Bertini-type theorem for free arithmetic linear series
Hideaki Ikoma
Kyoto J. Math. 55(3): 531-541 (September 2015). DOI: 10.1215/21562261-3089037

Abstract

In this paper, we prove a version of the arithmetic Bertini theorem asserting that there exists a strictly small and generically smooth section of a given arithmetically free graded arithmetic linear series.

Citation

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Hideaki Ikoma. "A Bertini-type theorem for free arithmetic linear series." Kyoto J. Math. 55 (3) 531 - 541, September 2015. https://doi.org/10.1215/21562261-3089037

Information

Received: 21 January 2013; Accepted: 22 May 2014; Published: September 2015
First available in Project Euclid: 9 September 2015

zbMATH: 1331.14033
MathSciNet: MR3395975
Digital Object Identifier: 10.1215/21562261-3089037

Subjects:
Primary: 14G40
Secondary: 11G50 , 37P30

Keywords: Arakelov geometry , arithmetic linear series , Bertini-type theorem

Rights: Copyright © 2015 Kyoto University

Vol.55 • No. 3 • September 2015
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