有限域上曲线在某些相对情形下从欧氏点出发的点的个数
Number of points of curves over finite fields in some relative situations from an euclidean point of vue
摘要：
本文从欧几里德观点出发，借鉴文[1]的精神，研究了有限域上光滑射影曲线在某些相关情形下的有理点。证明了由Schwarz不等式导出的平方曲线的数值空间的某些欧氏子空间上的Frobenius图和对角线的某些“相对部分”的相对Weil界.
英文摘要：
We study the number of rational points of smooth projective curves over finite fields in some relative situations in the spirit of a previous paper from an euclidean point of vue. We prove some kinds of relative Weil bounds, derived from Schwarz inequality for some "relative parts" of the diagonal and of the graph of the Frobenius on some euclidean sub-spaces of the numerical space of the squared curve endowed with the opposite of the intersection product.
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