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石磊,颜启明.关于涉及齐次多项式的定量子空间定理的一个注记[J].数学年刊A辑,2024,45(3):333~356
关于涉及齐次多项式的定量子空间定理的一个注记
A Note on Quantitative Subspace Theorems for Homogeneous Polynomials
DOI:
10.16205/j.cnki.cama.2024.0024
中文关键词
:
丢番图逼近
子空间定理
齐次多项式
英文关键词
:
In this paper,the authors show some quantitative subspace type theorems on an arbitrary projective variety with higher degree homogeneous polynomials under the more general assumption,in which some bounds are also improved.
基金项目
:
国家自然科学基金(No.12161018,No.11971353); 上海市自然科学基金(No.24ZR1471500)
Author Name
Affiliation
SHI Lei
School of Mathematical Sciences
,
Guizhou Normal University
,
Guiyang 550025
,
China.
YAN Qiming
School of Mathematical Sciences
,
Tongji University
,
Shanghai 200092
,
China
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中文摘要
:
作者在更一般的假设下,给出了涉及射影代数簇和高次齐次多项式的子空间型定理的定量结果,其中某些量的界也有所改进.
英文摘要
:
Diophantine approximation;Subspace theorem;Homogeneous polynomial
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