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2017 A subspace theorem for subvarieties
Min Ru, Julie Tzu-Yueh Wang
Algebra Number Theory 11(10): 2323-2337 (2017). DOI: 10.2140/ant.2017.11.2323

Abstract

We establish a height inequality, in terms of an (ample) line bundle, for a sum of subschemes located in -subgeneral position in an algebraic variety, which extends a result of McKinnon and Roth (2015). The inequality obtained in this paper connects the result of McKinnon and Roth (the case when the subschemes are points) and the results of Corvaja and Zannier (2004), Evertse and Ferretti (2008), Ru (2017), and Ru and Vojta (2016) (the case when the subschemes are divisors). Furthermore, our approach gives an alternative short and simpler proof of McKinnon and Roth’s result.

Citation

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Min Ru. Julie Tzu-Yueh Wang. "A subspace theorem for subvarieties." Algebra Number Theory 11 (10) 2323 - 2337, 2017. https://doi.org/10.2140/ant.2017.11.2323

Information

Received: 1 September 2016; Revised: 6 February 2017; Accepted: 31 March 2017; Published: 2017
First available in Project Euclid: 1 February 2018

zbMATH: 06825452
MathSciNet: MR3744358
Digital Object Identifier: 10.2140/ant.2017.11.2323

Subjects:
Primary: 11J97
Secondary: 11J87, 14G05

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 10 • 2017
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