  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.
