Rees algebras of sparse determinantal ideals
Rees algebras of sparse determinantal ideals
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="2 times n"> <mml:semantics> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>×<!-- × --></mml:mo> <mml:mi>n</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">2\times n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> sparse matrix. We prove that their …