The minimality of determinantal varieties
The minimality of determinantal varieties
Abstract The determinantal variety <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi mathvariant="normal">Σ</m:mi> <m:mrow> <m:mi>p</m:mi> <m:mo></m:mo> <m:mi>q</m:mi> </m:mrow> </m:msub> </m:math> {\Sigma_{pq}} is defined to be the set of all <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>p</m:mi> <m:mo>×</m:mo> <m:mi>q</m:mi> </m:mrow> </m:math> {p\times q} real matrices with <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>p</m:mi> <m:mo>≥</m:mo> <m:mi>q</m:mi> </m:mrow> </m:math> {p\geq q} whose ranks …