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��I�� No.14

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�� 14.1 $% latex2html id marker 721 $ {\mathbb{F}}_q$$ ��Ƽ��

�ˤ��ơ��3��оι�� $% latex2html id marker 725 $ A\in M_3({\mathbb{F}}_q)$$ ��¸�ߤ��ơ�

$\displaystyle f(X,Y,Z)=(X Y Z) A \begin{pmatrix} X \\ Y \\ Z \end{pmatrix}$

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��Ф��ơ� $% latex2html id marker 736 $ \operatorname{det}(A)\neq 0$$ �ΤȤ��ˤ��

$% latex2html id marker 738 $ E={\mathbb{F}}_q^3$$ �ξ��򤦤ޤ��괹��( ${\Leftrightarrow}$ ��ɸ�Ѵ��򤦤ޤ��Ȥ�) ��Ȥˤ�ꡢ ��˵��뤳�Ȥ�ͤ��褦�� (�츫��Ǥ�ʤ�)̿�꤬��ˤʤ롣

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�θ� $% latex2html id marker 747 $ v\neq 0$$ �ǡ� ${}^t v A v=0$ ��Τ�¸�ߤ��롣

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�δ�� $\{u_1,u_2,u_3\}$ �ǡ��Τ褦��Τ�¸�ߤ��롣

${}^t u_1 A u_1=0$ .
${}^t u_2 A u_1=0$ .
${}^t u_3 A u_1=1$ .

�δ��ܥ٥��ȥ뤫�� $\{u_1,u_2,u_3\}$ �˴��뤳�Ȥˤ��

$\displaystyle 2 X Z + a Y^2 + 2 b YZ + c Z^2$

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�� 14.3 $% latex2html id marker 771 $ {\mathbb{F}}_q$$ ��ಽ�Ƽ��󼡼�

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$% latex2html id marker 777 $\displaystyle Z(V_h,t)=\frac{1}{(1-q t)(1-t)} $$

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