Vlorbik's Diner

son of owen's cooking show

just remember [2]+[2]=[1] and we’re all set

Posted by vlorbik on November 27, 2010


pp. 2 & 3 of the newly-minted P_2({\Bbb F}_3).

the (linear) equations above the line
will turn out to correspond to “finite points”
of the projective space of the title;
the algebraically-alert will easily confirm
that these are the lines (in {\Bbb F}_3^2)
having “finite slopes”. the x = A
lines can then be thought of as
having *infinite* slope (and represented,
just as in R^2 [ordinary real 2-space],
by *vertical* lines). here come the
next couple pages.

(the icon by my finger, for now,
indicates only that these three
latest points “have something
in common”… a hint of things
to come.)

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