Birational geometry and the canonical ring o a family of determinantal 3-folds

Vladimir Lazić, Frank-Olaf Schreyer

Published 2019-11-25Version 1

Few explicit families of 3-folds are known for which the computation of the canonical ring is accessible and the birational geometry non-trivial. In this note we investigate a family of determinantal 3-folds in $\mathbb P^2 \times \mathbb P^3$ where this is the case.