Blowup algebras of rational normal scrolls

Abstract

We determine the equations of the blowup of ${\mathbb{P}}^n$ along a $d$-fold rational normal scroll $S$, and we prove that the Rees ring and special fiber ring of $S\subseteq {\mathbb{P}}^n$ are Koszul algebras.

To appear on Transactions of the American Mathematical Society

References in corpus (5)

• Hyperdeterminantal relations among symmetric principal minors
• Sums of squares and varieties of minimal degree
• The equations defining blowup algebras of height three Gorenstein ideals
• Noncrossing sets and a Graßmann associahedron
• Rational Normal Scrolls and the Defining Equations of Rees Algebras

Cited by in corpus (1)

• On Rees algebras of 2-determinantal ideals