TY - JOUR
AU - Stapleton, David
PY - 2020/09/03
Y2 - 2021/12/03
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 $2$ 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 -