Uniform bounds for rational points on complete intersections of two quadric surfaces

Manh Hung Tran

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Uniform bounds for rational points on complete intersections of two quadric surfaces

机译：两个二次表面的完整交叉点的合理点均匀界限

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来源
《Acta Arithmetica》 |2018年第4期|共18页
作者
Manh Hung Tran;
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作者单位

Chalmers Univ Technol Gothenburg Sweden;

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收录信息
原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
elliptic curves; Diophantine equations; descent; determinant method; rational points;

机译：椭圆曲线;衍生素方程;血统;决定性方法;理性点;

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专利

1. Uniform bounds for rational points on complete intersections of two quadric surfaces [J] . Manh Hung Tran Acta Arithmetica . 2018,第4期

机译：两个二次表面的完整交叉点的合理点均匀界限
2. Non-rationality of the 4-dimensional smooth complete intersection of a quadric and a quartic not containing planes [J] . Cheltsov IA Sbornik. Mathematics . 2003,第11a12期

机译：不含平面的二次曲面和四次曲面的4维平滑完全交点的非理性
3. Examples of special quadratic birational transformations into complete intersections of quadrics [J] . Stagliano Giovanni Journal of symbolic computation . 2016,第MAYaJUNa期

机译：特殊的二次双边变换到二次曲面的完整交集的示例
4. Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics [C] . Maria-Laura Torrente Workshop on Computer Algebra and Polynomials . 2015

机译：Rational Normal曲线作为Quadrics的定制完整交叉点
5. Spinor sheaves and complete intersections of quadrics. [D] . Addington, Nicolas. 2009

机译：棘轮和完整的二次曲面相交。
6. Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique [O] . Wenchao Wu, Yongguang Hu, Yongzong Lu 2021

机译：基于非均匀理性基础曲线技术的茶叶点云参数化曲面模型
7. Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems [O] . Auel, Asher, Bernardara, Marcello, Bolognesi, Michele 2013

机译：Clifford代数，二次曲线完全交叉点的光纤，派生类别和理性问题
8. A Parametric Algorithm for Drawing Pictures of Solid Objects Bounded by Quadric Surfaces. [R] . Levin, J. Z. 1976

机译：一种用二次曲面绘制的实体图像绘制参数算法。

Uniform bounds for rational points on complete intersections of two quadric surfaces

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