On Absolute and Quantitative Subspace Theorems-Reference-Cited by-同舟云学术

On Absolute and Quantitative Subspace Theorems

Published:2024-05-15 Issue: Volume: Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Ngo Hieu T.¹^ORCID,Quang Si Duc²^ORCID

Affiliation:

1. Institute of Mathematics , 61797 Vietnam Academy of Science and Technology , Hanoi , Vietnam

2. Department of Mathematics , 226333 Hanoi National University of Education , 136-Xuan Thuy, Cau Giay , Hanoi , Vietnam ; and Institute of Natural Sciences, Hanoi National University of Education, 136-Xuan Thuy, Cau Giay, Hanoi, Vietnam

Abstract

Abstract The Absolute Subspace Theorem, a vast generalization and a quantitative improvement of Schmidt’s Subspace Theorem, was first established by Evertse and Schlickewei and then strengthened remarkably by Evertse and Ferretti. We study quantitative generalizations and extensions of subspace theorems in various contexts. We establish a generalization of Evertse and Ferretti’s Absolute Subspace Theorem for hyperplanes in general position. We obtain improved (non-absolute) Quantitative Subspace Theorems for hyperplanes in general position and in subgeneral position. We show a Semi-quantitative Subspace Theorem for hyperplanes in non-subdegenerate position.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/forum-2023-0247/pdf

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