Gluing determinantal Cremona maps

Abstract

We study determinantal Cremona maps, i.e. birational maps whose base ideal is the maximal minors ideal of a given matrix Φ, via the resolution of the polynomials systems defined by Φ. Using convex geometry, this approach leads in particular to describe the projective degrees of some almost linear determinantal maps.

On Rees algebras of 2‐determinantal ideals

“…In doing so, some of the most common problems involve computing the degrees of the defining relations, measuring the singularities of (𝐼), and investigating the Koszulness of (𝐼). These avenues of research are very active and we mention some of the more recent papers [2,3,5,9,14,18,[30][31][32]36].…”