Main theorem of elimination theory: Difference between revisions

Revision as of 00:33, 16 May 2014

Revision as of 00:34, 16 May 2014

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Thus, it is enough to prove <math>Z_d</math> is closed. Let ''M'' be the matrix with

Then <math>ay</math> is a closed point of <math>Z_d \Leftrightarrow M(ay)</math> has rank <math>< q \Leftrightarrow </math> all the <math>q \times q</math>-minors vanish at ''xy''.

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