Main theorem of elimination theory: Difference between revisions

Revision as of 09:31, 11 March 2018

Revision as of 20:58, 16 May 2018

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the [[hyperbola]] {{mvar|H}} of equation <math>xy-1=0</math> is <math>L_x\setminus \{0\},</math> which is not closed, although {{mvar|H}} is closed, being an [[algebraic variety]].

If one extendextends <math>L_y</math> to a projective line <math>P_y,</math> the equation of the [[projective completion]] of the parabola becomes

:<math>xy_1-y_0=0,</math>

and contains