TY - JOUR AU - Stapleton, David PY - 2020/09/03 Y2 - 2024/03/29 TI - A direct proof that toric rank $2$ bundles on projective space split JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 126 IS - 3 SE - Articles DO - 10.7146/math.scand.a-121452 UR - https://www.mscand.dk/article/view/121452 SP - 493-496 AB - <p>The point of this paper is to give a short, direct proof that rank&nbsp;$2$ toric vector bundles on $n$-dimensional projective space split once $n$ is at least $3$. This result is originally due to Bertin and Elencwajg, and there is also related work by Kaneyama, Klyachko, and Ilten-Süss. The idea is that, after possibly twisting the vector bundle, there is a section which is a complete intersection.</p> ER -